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Finding the Fourth Proportional to 25,882.17, 38,813.67 and 9,237.75

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Solution

The fourth proportional to 25,882.17, 38,813.67 and 9,237.75 is: 13,853.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.17 : 38,813.67 = 9,237.75 : x
  2. Step 2: Convert to fraction form
    25,882.17/38,813.67 = 9,237.75/x
  3. Step 3: Cross multiply
    25,882.17x = 38,813.67 × 9,237.75
  4. Step 4: Simplify right side
    25,882.17x = 358,550,980.04
  5. Step 5: Solve for x
    x = 358,550,980.04/25,882.17
  6. Step 6: Final answer
    x = 13,853.20

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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.