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Finding the Fourth Proportional to 12,862.76, 17,751.29 and 7,197.17

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Solution

The fourth proportional to 12,862.76, 17,751.29 and 7,197.17 is: 9,932.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.76 : 17,751.29 = 7,197.17 : x
  2. Step 2: Convert to fraction form
    12,862.76/17,751.29 = 7,197.17/x
  3. Step 3: Cross multiply
    12,862.76x = 17,751.29 × 7,197.17
  4. Step 4: Simplify right side
    12,862.76x = 127,758,927.11
  5. Step 5: Solve for x
    x = 127,758,927.11/12,862.76
  6. Step 6: Final answer
    x = 9,932.47

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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.