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Finding the Fourth Proportional to 22,365.47, 30,864.42 and 12,294.78

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Solution

The fourth proportional to 22,365.47, 30,864.42 and 12,294.78 is: 16,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,365.47 : 30,864.42 = 12,294.78 : x
  2. Step 2: Convert to fraction form
    22,365.47/30,864.42 = 12,294.78/x
  3. Step 3: Cross multiply
    22,365.47x = 30,864.42 × 12,294.78
  4. Step 4: Simplify right side
    22,365.47x = 379,471,253.73
  5. Step 5: Solve for x
    x = 379,471,253.73/22,365.47
  6. Step 6: Final answer
    x = 16,966.84

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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.