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Finding the Fourth Proportional to 14,382.77, 19,842.44 and 10,614.92

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Solution

The fourth proportional to 14,382.77, 19,842.44 and 10,614.92 is: 14,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,382.77 : 19,842.44 = 10,614.92 : x
  2. Step 2: Convert to fraction form
    14,382.77/19,842.44 = 10,614.92/x
  3. Step 3: Cross multiply
    14,382.77x = 19,842.44 × 10,614.92
  4. Step 4: Simplify right side
    14,382.77x = 210,625,760.92
  5. Step 5: Solve for x
    x = 210,625,760.92/14,382.77
  6. Step 6: Final answer
    x = 14,644.32

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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.