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Finding the Fourth Proportional to 24,978.82, 34,447.34 and 16,029.14

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Solution

The fourth proportional to 24,978.82, 34,447.34 and 16,029.14 is: 22,105.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.82 : 34,447.34 = 16,029.14 : x
  2. Step 2: Convert to fraction form
    24,978.82/34,447.34 = 16,029.14/x
  3. Step 3: Cross multiply
    24,978.82x = 34,447.34 × 16,029.14
  4. Step 4: Simplify right side
    24,978.82x = 552,161,235.49
  5. Step 5: Solve for x
    x = 552,161,235.49/24,978.82
  6. Step 6: Final answer
    x = 22,105.18

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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.