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Finding the Fourth Proportional to 25,932.90, 38,895.06 and 9,290.40

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Solution

The fourth proportional to 25,932.90, 38,895.06 and 9,290.40 is: 13,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,932.90 : 38,895.06 = 9,290.40 : x
  2. Step 2: Convert to fraction form
    25,932.90/38,895.06 = 9,290.40/x
  3. Step 3: Cross multiply
    25,932.90x = 38,895.06 × 9,290.40
  4. Step 4: Simplify right side
    25,932.90x = 361,350,665.42
  5. Step 5: Solve for x
    x = 361,350,665.42/25,932.90
  6. Step 6: Final answer
    x = 13,934.06

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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.