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Finding the Fourth Proportional to 19,726.24, 29,584.32 and 5,872

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Solution

The fourth proportional to 19,726.24, 29,584.32 and 5,872 is: 8,806.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,726.24 : 29,584.32 = 5,872 : x
  2. Step 2: Convert to fraction form
    19,726.24/29,584.32 = 5,872/x
  3. Step 3: Cross multiply
    19,726.24x = 29,584.32 × 5,872
  4. Step 4: Simplify right side
    19,726.24x = 173,719,127.04
  5. Step 5: Solve for x
    x = 173,719,127.04/19,726.24
  6. Step 6: Final answer
    x = 8,806.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.