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Finding the Fourth Proportional to 17,839.36, 24,620.04 and 9,881.92

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Solution

The fourth proportional to 17,839.36, 24,620.04 and 9,881.92 is: 13,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,839.36 : 24,620.04 = 9,881.92 : x
  2. Step 2: Convert to fraction form
    17,839.36/24,620.04 = 9,881.92/x
  3. Step 3: Cross multiply
    17,839.36x = 24,620.04 × 9,881.92
  4. Step 4: Simplify right side
    17,839.36x = 243,293,265.68
  5. Step 5: Solve for x
    x = 243,293,265.68/17,839.36
  6. Step 6: Final answer
    x = 13,638.00

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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.