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Finding the Fourth Proportional to 16,578.85, 24,868.52 and 9,230.01

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Solution

The fourth proportional to 16,578.85, 24,868.52 and 9,230.01 is: 13,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,578.85 : 24,868.52 = 9,230.01 : x
  2. Step 2: Convert to fraction form
    16,578.85/24,868.52 = 9,230.01/x
  3. Step 3: Cross multiply
    16,578.85x = 24,868.52 × 9,230.01
  4. Step 4: Simplify right side
    16,578.85x = 229,536,688.29
  5. Step 5: Solve for x
    x = 229,536,688.29/16,578.85
  6. Step 6: Final answer
    x = 13,845.15

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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.