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Finding the Fourth Proportional to 24,859.31, 34,298.10 and 14,102.39

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Solution

The fourth proportional to 24,859.31, 34,298.10 and 14,102.39 is: 19,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,859.31 : 34,298.10 = 14,102.39 : x
  2. Step 2: Convert to fraction form
    24,859.31/34,298.10 = 14,102.39/x
  3. Step 3: Cross multiply
    24,859.31x = 34,298.10 × 14,102.39
  4. Step 4: Simplify right side
    24,859.31x = 483,685,268.20
  5. Step 5: Solve for x
    x = 483,685,268.20/24,859.31
  6. Step 6: Final answer
    x = 19,456.91

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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.