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Finding the Fourth Proportional to 25,164.27, 37,702.67 and 13,456.53

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Solution

The fourth proportional to 25,164.27, 37,702.67 and 13,456.53 is: 20,161.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,164.27 : 37,702.67 = 13,456.53 : x
  2. Step 2: Convert to fraction form
    25,164.27/37,702.67 = 13,456.53/x
  3. Step 3: Cross multiply
    25,164.27x = 37,702.67 × 13,456.53
  4. Step 4: Simplify right side
    25,164.27x = 507,347,042.65
  5. Step 5: Solve for x
    x = 507,347,042.65/25,164.27
  6. Step 6: Final answer
    x = 20,161.41

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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.