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Finding the Fourth Proportional to 13,412.62, 18,496.54 and 8,034.20

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Solution

The fourth proportional to 13,412.62, 18,496.54 and 8,034.20 is: 11,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.62 : 18,496.54 = 8,034.20 : x
  2. Step 2: Convert to fraction form
    13,412.62/18,496.54 = 8,034.20/x
  3. Step 3: Cross multiply
    13,412.62x = 18,496.54 × 8,034.20
  4. Step 4: Simplify right side
    13,412.62x = 148,604,901.67
  5. Step 5: Solve for x
    x = 148,604,901.67/13,412.62
  6. Step 6: Final answer
    x = 11,079.48

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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.