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Finding the Fourth Proportional to 21,134.15, 29,165.12 and 11,702.71

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Solution

The fourth proportional to 21,134.15, 29,165.12 and 11,702.71 is: 16,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,134.15 : 29,165.12 = 11,702.71 : x
  2. Step 2: Convert to fraction form
    21,134.15/29,165.12 = 11,702.71/x
  3. Step 3: Cross multiply
    21,134.15x = 29,165.12 × 11,702.71
  4. Step 4: Simplify right side
    21,134.15x = 341,310,737.14
  5. Step 5: Solve for x
    x = 341,310,737.14/21,134.15
  6. Step 6: Final answer
    x = 16,149.73

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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.