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Finding the Fourth Proportional to 21,423.10, 29,562.12 and 11,862.82

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Solution

The fourth proportional to 21,423.10, 29,562.12 and 11,862.82 is: 16,369.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,423.10 : 29,562.12 = 11,862.82 : x
  2. Step 2: Convert to fraction form
    21,423.10/29,562.12 = 11,862.82/x
  3. Step 3: Cross multiply
    21,423.10x = 29,562.12 × 11,862.82
  4. Step 4: Simplify right side
    21,423.10x = 350,690,108.38
  5. Step 5: Solve for x
    x = 350,690,108.38/21,423.10
  6. Step 6: Final answer
    x = 16,369.72

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Why These Related Problems?

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