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Finding the Fourth Proportional to 16,307.86, 22,505.70 and 9,234.94

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Solution

The fourth proportional to 16,307.86, 22,505.70 and 9,234.94 is: 12,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,307.86 : 22,505.70 = 9,234.94 : x
  2. Step 2: Convert to fraction form
    16,307.86/22,505.70 = 9,234.94/x
  3. Step 3: Cross multiply
    16,307.86x = 22,505.70 × 9,234.94
  4. Step 4: Simplify right side
    16,307.86x = 207,838,789.16
  5. Step 5: Solve for x
    x = 207,838,789.16/16,307.86
  6. Step 6: Final answer
    x = 12,744.70

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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.