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Finding the Fourth Proportional to 24,360, 33,616.83 and 13,182

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Solution

The fourth proportional to 24,360, 33,616.83 and 13,182 is: 18,191.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,360 : 33,616.83 = 13,182 : x
  2. Step 2: Convert to fraction form
    24,360/33,616.83 = 13,182/x
  3. Step 3: Cross multiply
    24,360x = 33,616.83 × 13,182
  4. Step 4: Simplify right side
    24,360x = 443,137,053.06
  5. Step 5: Solve for x
    x = 443,137,053.06/24,360
  6. Step 6: Final answer
    x = 18,191.18

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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.