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Finding the Fourth Proportional to 25,508.31, 38,218.65 and 20,259.51

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Solution

The fourth proportional to 25,508.31, 38,218.65 and 20,259.51 is: 30,354.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,508.31 : 38,218.65 = 20,259.51 : x
  2. Step 2: Convert to fraction form
    25,508.31/38,218.65 = 20,259.51/x
  3. Step 3: Cross multiply
    25,508.31x = 38,218.65 × 20,259.51
  4. Step 4: Simplify right side
    25,508.31x = 774,291,121.86
  5. Step 5: Solve for x
    x = 774,291,121.86/25,508.31
  6. Step 6: Final answer
    x = 30,354.47

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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.