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Finding the Fourth Proportional to 11,702.40, 17,534.16 and 8,232.36

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Solution

The fourth proportional to 11,702.40, 17,534.16 and 8,232.36 is: 12,334.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.40 : 17,534.16 = 8,232.36 : x
  2. Step 2: Convert to fraction form
    11,702.40/17,534.16 = 8,232.36/x
  3. Step 3: Cross multiply
    11,702.40x = 17,534.16 × 8,232.36
  4. Step 4: Simplify right side
    11,702.40x = 144,347,517.42
  5. Step 5: Solve for x
    x = 144,347,517.42/11,702.40
  6. Step 6: Final answer
    x = 12,334.86

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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.