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Finding the Fourth Proportional to 16,365.10, 24,499.05 and 9,787.90

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Solution

The fourth proportional to 16,365.10, 24,499.05 and 9,787.90 is: 14,652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.10 : 24,499.05 = 9,787.90 : x
  2. Step 2: Convert to fraction form
    16,365.10/24,499.05 = 9,787.90/x
  3. Step 3: Cross multiply
    16,365.10x = 24,499.05 × 9,787.90
  4. Step 4: Simplify right side
    16,365.10x = 239,794,251.50
  5. Step 5: Solve for x
    x = 239,794,251.50/16,365.10
  6. Step 6: Final answer
    x = 14,652.78

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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.