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Finding the Fourth Proportional to 12,098.12, 16,702.32 and 8,063.87

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Solution

The fourth proportional to 12,098.12, 16,702.32 and 8,063.87 is: 11,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,098.12 : 16,702.32 = 8,063.87 : x
  2. Step 2: Convert to fraction form
    12,098.12/16,702.32 = 8,063.87/x
  3. Step 3: Cross multiply
    12,098.12x = 16,702.32 × 8,063.87
  4. Step 4: Simplify right side
    12,098.12x = 134,685,253.67
  5. Step 5: Solve for x
    x = 134,685,253.67/12,098.12
  6. Step 6: Final answer
    x = 11,132.75

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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.