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Finding the Fourth Proportional to 13,139.64, 18,134.82 and 7,834.68

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Solution

The fourth proportional to 13,139.64, 18,134.82 and 7,834.68 is: 10,813.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,139.64 : 18,134.82 = 7,834.68 : x
  2. Step 2: Convert to fraction form
    13,139.64/18,134.82 = 7,834.68/x
  3. Step 3: Cross multiply
    13,139.64x = 18,134.82 × 7,834.68
  4. Step 4: Simplify right side
    13,139.64x = 142,080,511.56
  5. Step 5: Solve for x
    x = 142,080,511.56/13,139.64
  6. Step 6: Final answer
    x = 10,813.12

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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.