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Finding the Fourth Proportional to 25,162.43, 37,748.40 and 8,296.40

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Solution

The fourth proportional to 25,162.43, 37,748.40 and 8,296.40 is: 12,446.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,162.43 : 37,748.40 = 8,296.40 : x
  2. Step 2: Convert to fraction form
    25,162.43/37,748.40 = 8,296.40/x
  3. Step 3: Cross multiply
    25,162.43x = 37,748.40 × 8,296.40
  4. Step 4: Simplify right side
    25,162.43x = 313,175,889.02
  5. Step 5: Solve for x
    x = 313,175,889.02/25,162.43
  6. Step 6: Final answer
    x = 12,446.17

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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.