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Finding the Fourth Proportional to 25,545.80, 38,316.42 and 8,903

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Solution

The fourth proportional to 25,545.80, 38,316.42 and 8,903 is: 13,353.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,545.80 : 38,316.42 = 8,903 : x
  2. Step 2: Convert to fraction form
    25,545.80/38,316.42 = 8,903/x
  3. Step 3: Cross multiply
    25,545.80x = 38,316.42 × 8,903
  4. Step 4: Simplify right side
    25,545.80x = 341,131,087.26
  5. Step 5: Solve for x
    x = 341,131,087.26/25,545.80
  6. Step 6: Final answer
    x = 13,353.71

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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.