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Finding the Fourth Proportional to 25,739.78, 38,609.70 and 10,157

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Solution

The fourth proportional to 25,739.78, 38,609.70 and 10,157 is: 15,235.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,739.78 : 38,609.70 = 10,157 : x
  2. Step 2: Convert to fraction form
    25,739.78/38,609.70 = 10,157/x
  3. Step 3: Cross multiply
    25,739.78x = 38,609.70 × 10,157
  4. Step 4: Simplify right side
    25,739.78x = 392,158,722.90
  5. Step 5: Solve for x
    x = 392,158,722.90/25,739.78
  6. Step 6: Final answer
    x = 15,235.51

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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.