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Finding the Fourth Proportional to 13,182.74, 18,207.48 and 9,613.82

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Solution

The fourth proportional to 13,182.74, 18,207.48 and 9,613.82 is: 13,278.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,182.74 : 18,207.48 = 9,613.82 : x
  2. Step 2: Convert to fraction form
    13,182.74/18,207.48 = 9,613.82/x
  3. Step 3: Cross multiply
    13,182.74x = 18,207.48 × 9,613.82
  4. Step 4: Simplify right side
    13,182.74x = 175,043,344.34
  5. Step 5: Solve for x
    x = 175,043,344.34/13,182.74
  6. Step 6: Final answer
    x = 13,278.23

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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.