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Finding the Fourth Proportional to 25,264.52, 37,896.90 and 6,543.25

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Solution

The fourth proportional to 25,264.52, 37,896.90 and 6,543.25 is: 9,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,264.52 : 37,896.90 = 6,543.25 : x
  2. Step 2: Convert to fraction form
    25,264.52/37,896.90 = 6,543.25/x
  3. Step 3: Cross multiply
    25,264.52x = 37,896.90 × 6,543.25
  4. Step 4: Simplify right side
    25,264.52x = 247,968,701.44
  5. Step 5: Solve for x
    x = 247,968,701.44/25,264.52
  6. Step 6: Final answer
    x = 9,814.90

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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.