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Finding the Fourth Proportional to 25,909.64, 38,864.52 and 10,338.20

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Solution

The fourth proportional to 25,909.64, 38,864.52 and 10,338.20 is: 15,507.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.64 : 38,864.52 = 10,338.20 : x
  2. Step 2: Convert to fraction form
    25,909.64/38,864.52 = 10,338.20/x
  3. Step 3: Cross multiply
    25,909.64x = 38,864.52 × 10,338.20
  4. Step 4: Simplify right side
    25,909.64x = 401,789,180.66
  5. Step 5: Solve for x
    x = 401,789,180.66/25,909.64
  6. Step 6: Final answer
    x = 15,507.32

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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.