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Finding the Fourth Proportional to 13,891.59, 19,170.62 and 7,842.15

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Solution

The fourth proportional to 13,891.59, 19,170.62 and 7,842.15 is: 10,822.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.59 : 19,170.62 = 7,842.15 : x
  2. Step 2: Convert to fraction form
    13,891.59/19,170.62 = 7,842.15/x
  3. Step 3: Cross multiply
    13,891.59x = 19,170.62 × 7,842.15
  4. Step 4: Simplify right side
    13,891.59x = 150,338,877.63
  5. Step 5: Solve for x
    x = 150,338,877.63/13,891.59
  6. Step 6: Final answer
    x = 10,822.29

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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.