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Finding the Fourth Proportional to 25,745.49, 38,613.47 and 9,105.66

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Solution

The fourth proportional to 25,745.49, 38,613.47 and 9,105.66 is: 13,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745.49 : 38,613.47 = 9,105.66 : x
  2. Step 2: Convert to fraction form
    25,745.49/38,613.47 = 9,105.66/x
  3. Step 3: Cross multiply
    25,745.49x = 38,613.47 × 9,105.66
  4. Step 4: Simplify right side
    25,745.49x = 351,601,083.71
  5. Step 5: Solve for x
    x = 351,601,083.71/25,745.49
  6. Step 6: Final answer
    x = 13,656.80

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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.