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Finding the Fourth Proportional to 12,811.78, 17,680.27 and 7,146.89

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Solution

The fourth proportional to 12,811.78, 17,680.27 and 7,146.89 is: 9,862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,811.78 : 17,680.27 = 7,146.89 : x
  2. Step 2: Convert to fraction form
    12,811.78/17,680.27 = 7,146.89/x
  3. Step 3: Cross multiply
    12,811.78x = 17,680.27 × 7,146.89
  4. Step 4: Simplify right side
    12,811.78x = 126,358,944.86
  5. Step 5: Solve for x
    x = 126,358,944.86/12,811.78
  6. Step 6: Final answer
    x = 9,862.72

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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.