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Finding the Fourth Proportional to 24,874, 34,326.12 and 13,696

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Solution

The fourth proportional to 24,874, 34,326.12 and 13,696 is: 18,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,874 : 34,326.12 = 13,696 : x
  2. Step 2: Convert to fraction form
    24,874/34,326.12 = 13,696/x
  3. Step 3: Cross multiply
    24,874x = 34,326.12 × 13,696
  4. Step 4: Simplify right side
    24,874x = 470,130,539.52
  5. Step 5: Solve for x
    x = 470,130,539.52/24,874
  6. Step 6: Final answer
    x = 18,900.48

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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.