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Finding the Fourth Proportional to 16,578,713.90, 24,868,070.85 and 9,843,661.10

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Solution

The fourth proportional to 16,578,713.90, 24,868,070.85 and 9,843,661.10 is: 14,765,491.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578,713.90 : 24,868,070.85 = 9,843,661.10 : x
  2. Step 2: Convert to fraction form
    16,578,713.90/24,868,070.85 = 9,843,661.10/x
  3. Step 3: Cross multiply
    16,578,713.90x = 24,868,070.85 × 9,843,661.10
  4. Step 4: Simplify right side
    16,578,713.90x = 244,792,861,658,188.94
  5. Step 5: Solve for x
    x = 244,792,861,658,188.94/16,578,713.90
  6. Step 6: Final answer
    x = 14,765,491.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.