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Finding the Fourth Proportional to 21,382.38, 29,505.06 and 12,431.88

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Solution

The fourth proportional to 21,382.38, 29,505.06 and 12,431.88 is: 17,154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,382.38 : 29,505.06 = 12,431.88 : x
  2. Step 2: Convert to fraction form
    21,382.38/29,505.06 = 12,431.88/x
  3. Step 3: Cross multiply
    21,382.38x = 29,505.06 × 12,431.88
  4. Step 4: Simplify right side
    21,382.38x = 366,803,365.31
  5. Step 5: Solve for x
    x = 366,803,365.31/21,382.38
  6. Step 6: Final answer
    x = 17,154.47

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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.