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Finding the Fourth Proportional to 16,702.20, 23,049.41 and 9,531.98

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Solution

The fourth proportional to 16,702.20, 23,049.41 and 9,531.98 is: 13,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.20 : 23,049.41 = 9,531.98 : x
  2. Step 2: Convert to fraction form
    16,702.20/23,049.41 = 9,531.98/x
  3. Step 3: Cross multiply
    16,702.20x = 23,049.41 × 9,531.98
  4. Step 4: Simplify right side
    16,702.20x = 219,706,352.22
  5. Step 5: Solve for x
    x = 219,706,352.22/16,702.20
  6. Step 6: Final answer
    x = 13,154.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.