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Finding the Fourth Proportional to 24,762.98, 34,161.54 and 15,806

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Solution

The fourth proportional to 24,762.98, 34,161.54 and 15,806 is: 21,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.98 : 34,161.54 = 15,806 : x
  2. Step 2: Convert to fraction form
    24,762.98/34,161.54 = 15,806/x
  3. Step 3: Cross multiply
    24,762.98x = 34,161.54 × 15,806
  4. Step 4: Simplify right side
    24,762.98x = 539,957,301.24
  5. Step 5: Solve for x
    x = 539,957,301.24/24,762.98
  6. Step 6: Final answer
    x = 21,805.02

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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.