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Finding the Fourth Proportional to 25,496.30, 38,244.18 and 7,966.28

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Solution

The fourth proportional to 25,496.30, 38,244.18 and 7,966.28 is: 11,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.30 : 38,244.18 = 7,966.28 : x
  2. Step 2: Convert to fraction form
    25,496.30/38,244.18 = 7,966.28/x
  3. Step 3: Cross multiply
    25,496.30x = 38,244.18 × 7,966.28
  4. Step 4: Simplify right side
    25,496.30x = 304,663,846.25
  5. Step 5: Solve for x
    x = 304,663,846.25/25,496.30
  6. Step 6: Final answer
    x = 11,949.34

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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.