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Finding the Fourth Proportional to 24,148.48, 33,296.84 and 22,654

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Solution

The fourth proportional to 24,148.48, 33,296.84 and 22,654 is: 31,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,148.48 : 33,296.84 = 22,654 : x
  2. Step 2: Convert to fraction form
    24,148.48/33,296.84 = 22,654/x
  3. Step 3: Cross multiply
    24,148.48x = 33,296.84 × 22,654
  4. Step 4: Simplify right side
    24,148.48x = 754,306,613.36
  5. Step 5: Solve for x
    x = 754,306,613.36/24,148.48
  6. Step 6: Final answer
    x = 31,236.19

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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.