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Finding the Fourth Proportional to 12,569.22, 18,710.14 and 12,382.38

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Solution

The fourth proportional to 12,569.22, 18,710.14 and 12,382.38 is: 18,432.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,569.22 : 18,710.14 = 12,382.38 : x
  2. Step 2: Convert to fraction form
    12,569.22/18,710.14 = 12,382.38/x
  3. Step 3: Cross multiply
    12,569.22x = 18,710.14 × 12,382.38
  4. Step 4: Simplify right side
    12,569.22x = 231,676,063.33
  5. Step 5: Solve for x
    x = 231,676,063.33/12,569.22
  6. Step 6: Final answer
    x = 18,432.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.