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Finding the Fourth Proportional to 12,812.39, 17,681.19 and 7,147.51

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Solution

The fourth proportional to 12,812.39, 17,681.19 and 7,147.51 is: 9,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.39 : 17,681.19 = 7,147.51 : x
  2. Step 2: Convert to fraction form
    12,812.39/17,681.19 = 7,147.51/x
  3. Step 3: Cross multiply
    12,812.39x = 17,681.19 × 7,147.51
  4. Step 4: Simplify right side
    12,812.39x = 126,376,393.93
  5. Step 5: Solve for x
    x = 126,376,393.93/12,812.39
  6. Step 6: Final answer
    x = 9,863.61

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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.