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Finding the Fourth Proportional to 16,309.48, 22,505.94 and 9,234.60

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Solution

The fourth proportional to 16,309.48, 22,505.94 and 9,234.60 is: 12,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.48 : 22,505.94 = 9,234.60 : x
  2. Step 2: Convert to fraction form
    16,309.48/22,505.94 = 9,234.60/x
  3. Step 3: Cross multiply
    16,309.48x = 22,505.94 × 9,234.60
  4. Step 4: Simplify right side
    16,309.48x = 207,833,353.52
  5. Step 5: Solve for x
    x = 207,833,353.52/16,309.48
  6. Step 6: Final answer
    x = 12,743.10

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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.