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Finding the Fourth Proportional to 27,016.40, 40,505.40 and 12,232.40

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Solution

The fourth proportional to 27,016.40, 40,505.40 and 12,232.40 is: 18,339.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,016.40 : 40,505.40 = 12,232.40 : x
  2. Step 2: Convert to fraction form
    27,016.40/40,505.40 = 12,232.40/x
  3. Step 3: Cross multiply
    27,016.40x = 40,505.40 × 12,232.40
  4. Step 4: Simplify right side
    27,016.40x = 495,478,254.96
  5. Step 5: Solve for x
    x = 495,478,254.96/27,016.40
  6. Step 6: Final answer
    x = 18,339.91

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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.