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Finding the Fourth Proportional to 18,727.16, 25,842.18 and 10,343

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Solution

The fourth proportional to 18,727.16, 25,842.18 and 10,343 is: 14,272.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,727.16 : 25,842.18 = 10,343 : x
  2. Step 2: Convert to fraction form
    18,727.16/25,842.18 = 10,343/x
  3. Step 3: Cross multiply
    18,727.16x = 25,842.18 × 10,343
  4. Step 4: Simplify right side
    18,727.16x = 267,285,667.74
  5. Step 5: Solve for x
    x = 267,285,667.74/18,727.16
  6. Step 6: Final answer
    x = 14,272.62

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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.