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Finding the Fourth Proportional to 14,229.97, 19,637.13 and 7,856.62

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Solution

The fourth proportional to 14,229.97, 19,637.13 and 7,856.62 is: 10,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.97 : 19,637.13 = 7,856.62 : x
  2. Step 2: Convert to fraction form
    14,229.97/19,637.13 = 7,856.62/x
  3. Step 3: Cross multiply
    14,229.97x = 19,637.13 × 7,856.62
  4. Step 4: Simplify right side
    14,229.97x = 154,281,468.30
  5. Step 5: Solve for x
    x = 154,281,468.30/14,229.97
  6. Step 6: Final answer
    x = 10,842.01

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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.