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Finding the Fourth Proportional to 21,702.43, 29,952.12 and 12,142.86

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Solution

The fourth proportional to 21,702.43, 29,952.12 and 12,142.86 is: 16,758.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.43 : 29,952.12 = 12,142.86 : x
  2. Step 2: Convert to fraction form
    21,702.43/29,952.12 = 12,142.86/x
  3. Step 3: Cross multiply
    21,702.43x = 29,952.12 × 12,142.86
  4. Step 4: Simplify right side
    21,702.43x = 363,704,399.86
  5. Step 5: Solve for x
    x = 363,704,399.86/21,702.43
  6. Step 6: Final answer
    x = 16,758.69

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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.