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Finding the Fourth Proportional to 25,882.44, 38,826.08 and 9,244.20

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Solution

The fourth proportional to 25,882.44, 38,826.08 and 9,244.20 is: 13,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,882.44 : 38,826.08 = 9,244.20 : x
  2. Step 2: Convert to fraction form
    25,882.44/38,826.08 = 9,244.20/x
  3. Step 3: Cross multiply
    25,882.44x = 38,826.08 × 9,244.20
  4. Step 4: Simplify right side
    25,882.44x = 358,916,048.74
  5. Step 5: Solve for x
    x = 358,916,048.74/25,882.44
  6. Step 6: Final answer
    x = 13,867.16

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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.