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Finding the Fourth Proportional to 25,909.61, 38,854.49 and 9,266.54

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Solution

The fourth proportional to 25,909.61, 38,854.49 and 9,266.54 is: 13,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.61 : 38,854.49 = 9,266.54 : x
  2. Step 2: Convert to fraction form
    25,909.61/38,854.49 = 9,266.54/x
  3. Step 3: Cross multiply
    25,909.61x = 38,854.49 × 9,266.54
  4. Step 4: Simplify right side
    25,909.61x = 360,046,445.16
  5. Step 5: Solve for x
    x = 360,046,445.16/25,909.61
  6. Step 6: Final answer
    x = 13,896.25

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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.