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Finding the Fourth Proportional to 13,891.32, 19,170 and 7,841.16

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Solution

The fourth proportional to 13,891.32, 19,170 and 7,841.16 is: 10,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.32 : 19,170 = 7,841.16 : x
  2. Step 2: Convert to fraction form
    13,891.32/19,170 = 7,841.16/x
  3. Step 3: Cross multiply
    13,891.32x = 19,170 × 7,841.16
  4. Step 4: Simplify right side
    13,891.32x = 150,315,037.20
  5. Step 5: Solve for x
    x = 150,315,037.20/13,891.32
  6. Step 6: Final answer
    x = 10,820.79

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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.