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Finding the Fourth Proportional to 17,885.97, 24,682.55 and 9,819.77

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Solution

The fourth proportional to 17,885.97, 24,682.55 and 9,819.77 is: 13,551.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,885.97 : 24,682.55 = 9,819.77 : x
  2. Step 2: Convert to fraction form
    17,885.97/24,682.55 = 9,819.77/x
  3. Step 3: Cross multiply
    17,885.97x = 24,682.55 × 9,819.77
  4. Step 4: Simplify right side
    17,885.97x = 242,376,791.50
  5. Step 5: Solve for x
    x = 242,376,791.50/17,885.97
  6. Step 6: Final answer
    x = 13,551.22

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1.5x scale

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.