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Finding the Fourth Proportional to 25,891.92, 38,828.28 and 9,247.50

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Solution

The fourth proportional to 25,891.92, 38,828.28 and 9,247.50 is: 13,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,891.92 : 38,828.28 = 9,247.50 : x
  2. Step 2: Convert to fraction form
    25,891.92/38,828.28 = 9,247.50/x
  3. Step 3: Cross multiply
    25,891.92x = 38,828.28 × 9,247.50
  4. Step 4: Simplify right side
    25,891.92x = 359,064,519.30
  5. Step 5: Solve for x
    x = 359,064,519.30/25,891.92
  6. Step 6: Final answer
    x = 13,867.82

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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.