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Finding the Fourth Proportional to 25,827.66, 38,758.50 and 9,187.43

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Solution

The fourth proportional to 25,827.66, 38,758.50 and 9,187.43 is: 13,787.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,827.66 : 38,758.50 = 9,187.43 : x
  2. Step 2: Convert to fraction form
    25,827.66/38,758.50 = 9,187.43/x
  3. Step 3: Cross multiply
    25,827.66x = 38,758.50 × 9,187.43
  4. Step 4: Simplify right side
    25,827.66x = 356,090,811.86
  5. Step 5: Solve for x
    x = 356,090,811.86/25,827.66
  6. Step 6: Final answer
    x = 13,787.19

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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.