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Finding the Fourth Proportional to 12,854.92, 17,740.69 and 7,190.19

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Solution

The fourth proportional to 12,854.92, 17,740.69 and 7,190.19 is: 9,922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.92 : 17,740.69 = 7,190.19 : x
  2. Step 2: Convert to fraction form
    12,854.92/17,740.69 = 7,190.19/x
  3. Step 3: Cross multiply
    12,854.92x = 17,740.69 × 7,190.19
  4. Step 4: Simplify right side
    12,854.92x = 127,558,913.86
  5. Step 5: Solve for x
    x = 127,558,913.86/12,854.92
  6. Step 6: Final answer
    x = 9,922.97

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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.