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Finding the Fourth Proportional to 25,217.64, 37,824.30 and 7,691.40

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Solution

The fourth proportional to 25,217.64, 37,824.30 and 7,691.40 is: 11,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,217.64 : 37,824.30 = 7,691.40 : x
  2. Step 2: Convert to fraction form
    25,217.64/37,824.30 = 7,691.40/x
  3. Step 3: Cross multiply
    25,217.64x = 37,824.30 × 7,691.40
  4. Step 4: Simplify right side
    25,217.64x = 290,921,821.02
  5. Step 5: Solve for x
    x = 290,921,821.02/25,217.64
  6. Step 6: Final answer
    x = 11,536.44

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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.