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Finding the Fourth Proportional to 38,454.24, 57,681 and 12,158.99

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Solution

The fourth proportional to 38,454.24, 57,681 and 12,158.99 is: 18,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,454.24 : 57,681 = 12,158.99 : x
  2. Step 2: Convert to fraction form
    38,454.24/57,681 = 12,158.99/x
  3. Step 3: Cross multiply
    38,454.24x = 57,681 × 12,158.99
  4. Step 4: Simplify right side
    38,454.24x = 701,342,702.19
  5. Step 5: Solve for x
    x = 701,342,702.19/38,454.24
  6. Step 6: Final answer
    x = 18,238.37

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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.