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Finding the Fourth Proportional to 16,354.50, 22,569.24 and 8,902.50

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Solution

The fourth proportional to 16,354.50, 22,569.24 and 8,902.50 is: 12,285.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,354.50 : 22,569.24 = 8,902.50 : x
  2. Step 2: Convert to fraction form
    16,354.50/22,569.24 = 8,902.50/x
  3. Step 3: Cross multiply
    16,354.50x = 22,569.24 × 8,902.50
  4. Step 4: Simplify right side
    16,354.50x = 200,922,659.10
  5. Step 5: Solve for x
    x = 200,922,659.10/16,354.50
  6. Step 6: Final answer
    x = 12,285.47

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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.