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Finding the Fourth Proportional to 12,855.03, 17,743.82 and 7,823.71

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Solution

The fourth proportional to 12,855.03, 17,743.82 and 7,823.71 is: 10,799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.03 : 17,743.82 = 7,823.71 : x
  2. Step 2: Convert to fraction form
    12,855.03/17,743.82 = 7,823.71/x
  3. Step 3: Cross multiply
    12,855.03x = 17,743.82 × 7,823.71
  4. Step 4: Simplify right side
    12,855.03x = 138,822,501.97
  5. Step 5: Solve for x
    x = 138,822,501.97/12,855.03
  6. Step 6: Final answer
    x = 10,799.08

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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.