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Finding the Fourth Proportional to 25,157.10, 37,725.73 and 9,142.86

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Solution

The fourth proportional to 25,157.10, 37,725.73 and 9,142.86 is: 13,710.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.10 : 37,725.73 = 9,142.86 : x
  2. Step 2: Convert to fraction form
    25,157.10/37,725.73 = 9,142.86/x
  3. Step 3: Cross multiply
    25,157.10x = 37,725.73 × 9,142.86
  4. Step 4: Simplify right side
    25,157.10x = 344,921,067.79
  5. Step 5: Solve for x
    x = 344,921,067.79/25,157.10
  6. Step 6: Final answer
    x = 13,710.68

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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.