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Finding the Fourth Proportional to 13,072.30, 18,041.31 and 7,767.13

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Solution

The fourth proportional to 13,072.30, 18,041.31 and 7,767.13 is: 10,719.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.30 : 18,041.31 = 7,767.13 : x
  2. Step 2: Convert to fraction form
    13,072.30/18,041.31 = 7,767.13/x
  3. Step 3: Cross multiply
    13,072.30x = 18,041.31 × 7,767.13
  4. Step 4: Simplify right side
    13,072.30x = 140,129,200.14
  5. Step 5: Solve for x
    x = 140,129,200.14/13,072.30
  6. Step 6: Final answer
    x = 10,719.55

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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.