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Finding the Fourth Proportional to 27,232.18, 40,854.08 and 9,463.38

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Solution

The fourth proportional to 27,232.18, 40,854.08 and 9,463.38 is: 14,197.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232.18 : 40,854.08 = 9,463.38 : x
  2. Step 2: Convert to fraction form
    27,232.18/40,854.08 = 9,463.38/x
  3. Step 3: Cross multiply
    27,232.18x = 40,854.08 × 9,463.38
  4. Step 4: Simplify right side
    27,232.18x = 386,617,554.05
  5. Step 5: Solve for x
    x = 386,617,554.05/27,232.18
  6. Step 6: Final answer
    x = 14,197.08

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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.