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Finding the Fourth Proportional to 24,181.80, 36,278.82 and 11,707.80

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Solution

The fourth proportional to 24,181.80, 36,278.82 and 11,707.80 is: 17,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,181.80 : 36,278.82 = 11,707.80 : x
  2. Step 2: Convert to fraction form
    24,181.80/36,278.82 = 11,707.80/x
  3. Step 3: Cross multiply
    24,181.80x = 36,278.82 × 11,707.80
  4. Step 4: Simplify right side
    24,181.80x = 424,745,168.80
  5. Step 5: Solve for x
    x = 424,745,168.80/24,181.80
  6. Step 6: Final answer
    x = 17,564.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.