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Finding the Fourth Proportional to 12,868.54, 17,767 and 9,899.88

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Solution

The fourth proportional to 12,868.54, 17,767 and 9,899.88 is: 13,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,868.54 : 17,767 = 9,899.88 : x
  2. Step 2: Convert to fraction form
    12,868.54/17,767 = 9,899.88/x
  3. Step 3: Cross multiply
    12,868.54x = 17,767 × 9,899.88
  4. Step 4: Simplify right side
    12,868.54x = 175,891,167.96
  5. Step 5: Solve for x
    x = 175,891,167.96/12,868.54
  6. Step 6: Final answer
    x = 13,668.31

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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.