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Finding the Fourth Proportional to 14,787.67, 20,406.85 and 8,073.24

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Solution

The fourth proportional to 14,787.67, 20,406.85 and 8,073.24 is: 11,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,787.67 : 20,406.85 = 8,073.24 : x
  2. Step 2: Convert to fraction form
    14,787.67/20,406.85 = 8,073.24/x
  3. Step 3: Cross multiply
    14,787.67x = 20,406.85 × 8,073.24
  4. Step 4: Simplify right side
    14,787.67x = 164,749,397.69
  5. Step 5: Solve for x
    x = 164,749,397.69/14,787.67
  6. Step 6: Final answer
    x = 11,141.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.