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Finding the Fourth Proportional to 13,142.71, 19,722.52 and 5,243.88

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Solution

The fourth proportional to 13,142.71, 19,722.52 and 5,243.88 is: 7,869.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.71 : 19,722.52 = 5,243.88 : x
  2. Step 2: Convert to fraction form
    13,142.71/19,722.52 = 5,243.88/x
  3. Step 3: Cross multiply
    13,142.71x = 19,722.52 × 5,243.88
  4. Step 4: Simplify right side
    13,142.71x = 103,422,528.18
  5. Step 5: Solve for x
    x = 103,422,528.18/13,142.71
  6. Step 6: Final answer
    x = 7,869.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.