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Finding the Fourth Proportional to 22,463.78, 31,013.34 and 19,972.86

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Solution

The fourth proportional to 22,463.78, 31,013.34 and 19,972.86 is: 27,574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.78 : 31,013.34 = 19,972.86 : x
  2. Step 2: Convert to fraction form
    22,463.78/31,013.34 = 19,972.86/x
  3. Step 3: Cross multiply
    22,463.78x = 31,013.34 × 19,972.86
  4. Step 4: Simplify right side
    22,463.78x = 619,425,097.95
  5. Step 5: Solve for x
    x = 619,425,097.95/22,463.78
  6. Step 6: Final answer
    x = 27,574.39

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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.