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Finding the Fourth Proportional to 25,493.95, 38,241.38 and 8,854.53

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Solution

The fourth proportional to 25,493.95, 38,241.38 and 8,854.53 is: 13,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,493.95 : 38,241.38 = 8,854.53 : x
  2. Step 2: Convert to fraction form
    25,493.95/38,241.38 = 8,854.53/x
  3. Step 3: Cross multiply
    25,493.95x = 38,241.38 × 8,854.53
  4. Step 4: Simplify right side
    25,493.95x = 338,609,325.18
  5. Step 5: Solve for x
    x = 338,609,325.18/25,493.95
  6. Step 6: Final answer
    x = 13,281.95

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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.