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Finding the Fourth Proportional to 11,700.40, 17,531.16 and 8,230.36

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Solution

The fourth proportional to 11,700.40, 17,531.16 and 8,230.36 is: 12,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700.40 : 17,531.16 = 8,230.36 : x
  2. Step 2: Convert to fraction form
    11,700.40/17,531.16 = 8,230.36/x
  3. Step 3: Cross multiply
    11,700.40x = 17,531.16 × 8,230.36
  4. Step 4: Simplify right side
    11,700.40x = 144,287,758.02
  5. Step 5: Solve for x
    x = 144,287,758.02/11,700.40
  6. Step 6: Final answer
    x = 12,331.87

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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.