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Finding the Fourth Proportional to 16,285.75, 22,475.46 and 9,212.20

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Solution

The fourth proportional to 16,285.75, 22,475.46 and 9,212.20 is: 12,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,285.75 : 22,475.46 = 9,212.20 : x
  2. Step 2: Convert to fraction form
    16,285.75/22,475.46 = 9,212.20/x
  3. Step 3: Cross multiply
    16,285.75x = 22,475.46 × 9,212.20
  4. Step 4: Simplify right side
    16,285.75x = 207,048,432.61
  5. Step 5: Solve for x
    x = 207,048,432.61/16,285.75
  6. Step 6: Final answer
    x = 12,713.47

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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.