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Finding the Fourth Proportional to 24,274.77, 36,414.13 and 6,744.60

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Solution

The fourth proportional to 24,274.77, 36,414.13 and 6,744.60 is: 10,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.77 : 36,414.13 = 6,744.60 : x
  2. Step 2: Convert to fraction form
    24,274.77/36,414.13 = 6,744.60/x
  3. Step 3: Cross multiply
    24,274.77x = 36,414.13 × 6,744.60
  4. Step 4: Simplify right side
    24,274.77x = 245,598,741.20
  5. Step 5: Solve for x
    x = 245,598,741.20/24,274.77
  6. Step 6: Final answer
    x = 10,117.45

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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.