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Finding the Fourth Proportional to 17,717.84, 24,452 and 12,682.88

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Solution

The fourth proportional to 17,717.84, 24,452 and 12,682.88 is: 17,503.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.84 : 24,452 = 12,682.88 : x
  2. Step 2: Convert to fraction form
    17,717.84/24,452 = 12,682.88/x
  3. Step 3: Cross multiply
    17,717.84x = 24,452 × 12,682.88
  4. Step 4: Simplify right side
    17,717.84x = 310,121,781.76
  5. Step 5: Solve for x
    x = 310,121,781.76/17,717.84
  6. Step 6: Final answer
    x = 17,503.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.