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Finding the Fourth Proportional to 13,142.52, 18,139.02 and 7,837.68

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Solution

The fourth proportional to 13,142.52, 18,139.02 and 7,837.68 is: 10,817.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,142.52 : 18,139.02 = 7,837.68 : x
  2. Step 2: Convert to fraction form
    13,142.52/18,139.02 = 7,837.68/x
  3. Step 3: Cross multiply
    13,142.52x = 18,139.02 × 7,837.68
  4. Step 4: Simplify right side
    13,142.52x = 142,167,834.27
  5. Step 5: Solve for x
    x = 142,167,834.27/13,142.52
  6. Step 6: Final answer
    x = 10,817.40

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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.