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Finding the Fourth Proportional to 38,254.08, 57,392.64 and 13,632

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Solution

The fourth proportional to 38,254.08, 57,392.64 and 13,632 is: 20,452.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,254.08 : 57,392.64 = 13,632 : x
  2. Step 2: Convert to fraction form
    38,254.08/57,392.64 = 13,632/x
  3. Step 3: Cross multiply
    38,254.08x = 57,392.64 × 13,632
  4. Step 4: Simplify right side
    38,254.08x = 782,376,468.48
  5. Step 5: Solve for x
    x = 782,376,468.48/38,254.08
  6. Step 6: Final answer
    x = 20,452.11

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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.