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Finding the Fourth Proportional to 13,073.14, 18,042.47 and 7,767.96

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Solution

The fourth proportional to 13,073.14, 18,042.47 and 7,767.96 is: 10,720.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,073.14 : 18,042.47 = 7,767.96 : x
  2. Step 2: Convert to fraction form
    13,073.14/18,042.47 = 7,767.96/x
  3. Step 3: Cross multiply
    13,073.14x = 18,042.47 × 7,767.96
  4. Step 4: Simplify right side
    13,073.14x = 140,153,185.26
  5. Step 5: Solve for x
    x = 140,153,185.26/13,073.14
  6. Step 6: Final answer
    x = 10,720.70

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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.