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Finding the Fourth Proportional to 22,654.83, 31,278.80 and 14,168.97

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Solution

The fourth proportional to 22,654.83, 31,278.80 and 14,168.97 is: 19,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.83 : 31,278.80 = 14,168.97 : x
  2. Step 2: Convert to fraction form
    22,654.83/31,278.80 = 14,168.97/x
  3. Step 3: Cross multiply
    22,654.83x = 31,278.80 × 14,168.97
  4. Step 4: Simplify right side
    22,654.83x = 443,188,307.99
  5. Step 5: Solve for x
    x = 443,188,307.99/22,654.83
  6. Step 6: Final answer
    x = 19,562.64

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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.