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Finding the Fourth Proportional to 12,700.43, 17,524.85 and 7,033.77

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Solution

The fourth proportional to 12,700.43, 17,524.85 and 7,033.77 is: 9,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.43 : 17,524.85 = 7,033.77 : x
  2. Step 2: Convert to fraction form
    12,700.43/17,524.85 = 7,033.77/x
  3. Step 3: Cross multiply
    12,700.43x = 17,524.85 × 7,033.77
  4. Step 4: Simplify right side
    12,700.43x = 123,265,834.30
  5. Step 5: Solve for x
    x = 123,265,834.30/12,700.43
  6. Step 6: Final answer
    x = 9,705.65

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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.