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Finding the Fourth Proportional to 16,285.35, 22,473.14 and 9,213.24

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Solution

The fourth proportional to 16,285.35, 22,473.14 and 9,213.24 is: 12,713.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.35 : 22,473.14 = 9,213.24 : x
  2. Step 2: Convert to fraction form
    16,285.35/22,473.14 = 9,213.24/x
  3. Step 3: Cross multiply
    16,285.35x = 22,473.14 × 9,213.24
  4. Step 4: Simplify right side
    16,285.35x = 207,050,386.31
  5. Step 5: Solve for x
    x = 207,050,386.31/16,285.35
  6. Step 6: Final answer
    x = 12,713.90

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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.