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Finding the Fourth Proportional to 25,346.28, 38,016.86 and 8,929

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Solution

The fourth proportional to 25,346.28, 38,016.86 and 8,929 is: 13,392.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,346.28 : 38,016.86 = 8,929 : x
  2. Step 2: Convert to fraction form
    25,346.28/38,016.86 = 8,929/x
  3. Step 3: Cross multiply
    25,346.28x = 38,016.86 × 8,929
  4. Step 4: Simplify right side
    25,346.28x = 339,452,542.94
  5. Step 5: Solve for x
    x = 339,452,542.94/25,346.28
  6. Step 6: Final answer
    x = 13,392.60

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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.