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Finding the Fourth Proportional to 16,463.90, 24,694.98 and 4,618.50

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Solution

The fourth proportional to 16,463.90, 24,694.98 and 4,618.50 is: 6,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,463.90 : 24,694.98 = 4,618.50 : x
  2. Step 2: Convert to fraction form
    16,463.90/24,694.98 = 4,618.50/x
  3. Step 3: Cross multiply
    16,463.90x = 24,694.98 × 4,618.50
  4. Step 4: Simplify right side
    16,463.90x = 114,053,689.84
  5. Step 5: Solve for x
    x = 114,053,689.84/16,463.90
  6. Step 6: Final answer
    x = 6,927.50

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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.