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Finding the Fourth Proportional to 15,498.24, 21,387.42 and 8,424.24

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Solution

The fourth proportional to 15,498.24, 21,387.42 and 8,424.24 is: 11,625.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,498.24 : 21,387.42 = 8,424.24 : x
  2. Step 2: Convert to fraction form
    15,498.24/21,387.42 = 8,424.24/x
  3. Step 3: Cross multiply
    15,498.24x = 21,387.42 × 8,424.24
  4. Step 4: Simplify right side
    15,498.24x = 180,172,759.06
  5. Step 5: Solve for x
    x = 180,172,759.06/15,498.24
  6. Step 6: Final answer
    x = 11,625.37

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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.