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Finding the Fourth Proportional to 25,497.90, 38,246.88 and 7,967.82

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Solution

The fourth proportional to 25,497.90, 38,246.88 and 7,967.82 is: 11,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.90 : 38,246.88 = 7,967.82 : x
  2. Step 2: Convert to fraction form
    25,497.90/38,246.88 = 7,967.82/x
  3. Step 3: Cross multiply
    25,497.90x = 38,246.88 × 7,967.82
  4. Step 4: Simplify right side
    25,497.90x = 304,744,255.40
  5. Step 5: Solve for x
    x = 304,744,255.40/25,497.90
  6. Step 6: Final answer
    x = 11,951.74

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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.