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Finding the Fourth Proportional to 13,891.32, 19,171.59 and 7,924.47

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Solution

The fourth proportional to 13,891.32, 19,171.59 and 7,924.47 is: 10,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,891.32 : 19,171.59 = 7,924.47 : x
  2. Step 2: Convert to fraction form
    13,891.32/19,171.59 = 7,924.47/x
  3. Step 3: Cross multiply
    13,891.32x = 19,171.59 × 7,924.47
  4. Step 4: Simplify right side
    13,891.32x = 151,924,689.81
  5. Step 5: Solve for x
    x = 151,924,689.81/13,891.32
  6. Step 6: Final answer
    x = 10,936.66

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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.