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Finding the Fourth Proportional to 25,332.57, 37,998.84 and 6,864.57

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Solution

The fourth proportional to 25,332.57, 37,998.84 and 6,864.57 is: 10,296.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.57 : 37,998.84 = 6,864.57 : x
  2. Step 2: Convert to fraction form
    25,332.57/37,998.84 = 6,864.57/x
  3. Step 3: Cross multiply
    25,332.57x = 37,998.84 × 6,864.57
  4. Step 4: Simplify right side
    25,332.57x = 260,845,697.10
  5. Step 5: Solve for x
    x = 260,845,697.10/25,332.57
  6. Step 6: Final answer
    x = 10,296.85

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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.