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Finding the Fourth Proportional to 22,981.52, 31,648.20 and 21,931.76

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Solution

The fourth proportional to 22,981.52, 31,648.20 and 21,931.76 is: 30,202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,981.52 : 31,648.20 = 21,931.76 : x
  2. Step 2: Convert to fraction form
    22,981.52/31,648.20 = 21,931.76/x
  3. Step 3: Cross multiply
    22,981.52x = 31,648.20 × 21,931.76
  4. Step 4: Simplify right side
    22,981.52x = 694,100,726.83
  5. Step 5: Solve for x
    x = 694,100,726.83/22,981.52
  6. Step 6: Final answer
    x = 30,202.56

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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.