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Finding the Fourth Proportional to 25,123.68, 37,691.82 and 17,742.60

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Solution

The fourth proportional to 25,123.68, 37,691.82 and 17,742.60 is: 26,618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,123.68 : 37,691.82 = 17,742.60 : x
  2. Step 2: Convert to fraction form
    25,123.68/37,691.82 = 17,742.60/x
  3. Step 3: Cross multiply
    25,123.68x = 37,691.82 × 17,742.60
  4. Step 4: Simplify right side
    25,123.68x = 668,750,885.53
  5. Step 5: Solve for x
    x = 668,750,885.53/25,123.68
  6. Step 6: Final answer
    x = 26,618.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.