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Finding the Fourth Proportional to 16,382.48, 22,605.84 and 9,306.92

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Solution

The fourth proportional to 16,382.48, 22,605.84 and 9,306.92 is: 12,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,382.48 : 22,605.84 = 9,306.92 : x
  2. Step 2: Convert to fraction form
    16,382.48/22,605.84 = 9,306.92/x
  3. Step 3: Cross multiply
    16,382.48x = 22,605.84 × 9,306.92
  4. Step 4: Simplify right side
    16,382.48x = 210,390,744.41
  5. Step 5: Solve for x
    x = 210,390,744.41/16,382.48
  6. Step 6: Final answer
    x = 12,842.42

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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.