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Finding the Fourth Proportional to 24,643.85, 34,024.25 and 15,217.88

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Solution

The fourth proportional to 24,643.85, 34,024.25 and 15,217.88 is: 21,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,643.85 : 34,024.25 = 15,217.88 : x
  2. Step 2: Convert to fraction form
    24,643.85/34,024.25 = 15,217.88/x
  3. Step 3: Cross multiply
    24,643.85x = 34,024.25 × 15,217.88
  4. Step 4: Simplify right side
    24,643.85x = 517,776,821.51
  5. Step 5: Solve for x
    x = 517,776,821.51/24,643.85
  6. Step 6: Final answer
    x = 21,010.39

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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.