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Finding the Fourth Proportional to 25,100.71, 37,654.56 and 8,465.50

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Solution

The fourth proportional to 25,100.71, 37,654.56 and 8,465.50 is: 12,699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.71 : 37,654.56 = 8,465.50 : x
  2. Step 2: Convert to fraction form
    25,100.71/37,654.56 = 8,465.50/x
  3. Step 3: Cross multiply
    25,100.71x = 37,654.56 × 8,465.50
  4. Step 4: Simplify right side
    25,100.71x = 318,764,677.68
  5. Step 5: Solve for x
    x = 318,764,677.68/25,100.71
  6. Step 6: Final answer
    x = 12,699.43

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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.