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Finding the Fourth Proportional to 21,377.31, 29,499.84 and 12,424.38

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Solution

The fourth proportional to 21,377.31, 29,499.84 and 12,424.38 is: 17,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,377.31 : 29,499.84 = 12,424.38 : x
  2. Step 2: Convert to fraction form
    21,377.31/29,499.84 = 12,424.38/x
  3. Step 3: Cross multiply
    21,377.31x = 29,499.84 × 12,424.38
  4. Step 4: Simplify right side
    21,377.31x = 366,517,222.10
  5. Step 5: Solve for x
    x = 366,517,222.10/21,377.31
  6. Step 6: Final answer
    x = 17,145.15

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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.