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Finding the Fourth Proportional to 22,780.78, 31,436.71 and 13,349.14

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Solution

The fourth proportional to 22,780.78, 31,436.71 and 13,349.14 is: 18,421.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,780.78 : 31,436.71 = 13,349.14 : x
  2. Step 2: Convert to fraction form
    22,780.78/31,436.71 = 13,349.14/x
  3. Step 3: Cross multiply
    22,780.78x = 31,436.71 × 13,349.14
  4. Step 4: Simplify right side
    22,780.78x = 419,653,042.93
  5. Step 5: Solve for x
    x = 419,653,042.93/22,780.78
  6. Step 6: Final answer
    x = 18,421.36

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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.