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Finding the Fourth Proportional to 21,702.30, 29,949.84 and 12,141.96

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Solution

The fourth proportional to 21,702.30, 29,949.84 and 12,141.96 is: 16,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.30 : 29,949.84 = 12,141.96 : x
  2. Step 2: Convert to fraction form
    21,702.30/29,949.84 = 12,141.96/x
  3. Step 3: Cross multiply
    21,702.30x = 29,949.84 × 12,141.96
  4. Step 4: Simplify right side
    21,702.30x = 363,649,759.29
  5. Step 5: Solve for x
    x = 363,649,759.29/21,702.30
  6. Step 6: Final answer
    x = 16,756.28

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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.