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Finding the Fourth Proportional to 25,264.01, 37,896.15 and 6,542.74

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Solution

The fourth proportional to 25,264.01, 37,896.15 and 6,542.74 is: 9,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.01 : 37,896.15 = 6,542.74 : x
  2. Step 2: Convert to fraction form
    25,264.01/37,896.15 = 6,542.74/x
  3. Step 3: Cross multiply
    25,264.01x = 37,896.15 × 6,542.74
  4. Step 4: Simplify right side
    25,264.01x = 247,944,561.71
  5. Step 5: Solve for x
    x = 247,944,561.71/25,264.01
  6. Step 6: Final answer
    x = 9,814.14

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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.