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Finding the Fourth Proportional to 38,157.72, 57,236 and 11,862.40

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Solution

The fourth proportional to 38,157.72, 57,236 and 11,862.40 is: 17,793.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,157.72 : 57,236 = 11,862.40 : x
  2. Step 2: Convert to fraction form
    38,157.72/57,236 = 11,862.40/x
  3. Step 3: Cross multiply
    38,157.72x = 57,236 × 11,862.40
  4. Step 4: Simplify right side
    38,157.72x = 678,956,326.40
  5. Step 5: Solve for x
    x = 678,956,326.40/38,157.72
  6. Step 6: Final answer
    x = 17,793.42

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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.