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Finding the Fourth Proportional to 22,781.88, 31,419.36 and 14,821.20

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Solution

The fourth proportional to 22,781.88, 31,419.36 and 14,821.20 is: 20,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,781.88 : 31,419.36 = 14,821.20 : x
  2. Step 2: Convert to fraction form
    22,781.88/31,419.36 = 14,821.20/x
  3. Step 3: Cross multiply
    22,781.88x = 31,419.36 × 14,821.20
  4. Step 4: Simplify right side
    22,781.88x = 465,672,618.43
  5. Step 5: Solve for x
    x = 465,672,618.43/22,781.88
  6. Step 6: Final answer
    x = 20,440.48

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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.