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Finding the Fourth Proportional to 17,257.10, 25,891.80 and 9,867.77

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Solution

The fourth proportional to 17,257.10, 25,891.80 and 9,867.77 is: 14,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,257.10 : 25,891.80 = 9,867.77 : x
  2. Step 2: Convert to fraction form
    17,257.10/25,891.80 = 9,867.77/x
  3. Step 3: Cross multiply
    17,257.10x = 25,891.80 × 9,867.77
  4. Step 4: Simplify right side
    17,257.10x = 255,494,459.06
  5. Step 5: Solve for x
    x = 255,494,459.06/17,257.10
  6. Step 6: Final answer
    x = 14,805.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.