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Finding the Fourth Proportional to 25,775.12, 38,651.73 and 9,139.34

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Solution

The fourth proportional to 25,775.12, 38,651.73 and 9,139.34 is: 13,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,775.12 : 38,651.73 = 9,139.34 : x
  2. Step 2: Convert to fraction form
    25,775.12/38,651.73 = 9,139.34/x
  3. Step 3: Cross multiply
    25,775.12x = 38,651.73 × 9,139.34
  4. Step 4: Simplify right side
    25,775.12x = 353,251,108.80
  5. Step 5: Solve for x
    x = 353,251,108.80/25,775.12
  6. Step 6: Final answer
    x = 13,705.12

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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.