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Finding the Fourth Proportional to 25,813.18, 38,726.44 and 8,283.16

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Solution

The fourth proportional to 25,813.18, 38,726.44 and 8,283.16 is: 12,426.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.18 : 38,726.44 = 8,283.16 : x
  2. Step 2: Convert to fraction form
    25,813.18/38,726.44 = 8,283.16/x
  3. Step 3: Cross multiply
    25,813.18x = 38,726.44 × 8,283.16
  4. Step 4: Simplify right side
    25,813.18x = 320,777,298.75
  5. Step 5: Solve for x
    x = 320,777,298.75/25,813.18
  6. Step 6: Final answer
    x = 12,426.88

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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.