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Finding the Fourth Proportional to 25,332.40, 37,998.56 and 6,864.40

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Solution

The fourth proportional to 25,332.40, 37,998.56 and 6,864.40 is: 10,296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,332.40 : 37,998.56 = 6,864.40 : x
  2. Step 2: Convert to fraction form
    25,332.40/37,998.56 = 6,864.40/x
  3. Step 3: Cross multiply
    25,332.40x = 37,998.56 × 6,864.40
  4. Step 4: Simplify right side
    25,332.40x = 260,837,315.26
  5. Step 5: Solve for x
    x = 260,837,315.26/25,332.40
  6. Step 6: Final answer
    x = 10,296.59

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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.