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Finding the Fourth Proportional to 24,818.64, 37,218.24 and 9,231.36

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Solution

The fourth proportional to 24,818.64, 37,218.24 and 9,231.36 is: 13,843.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818.64 : 37,218.24 = 9,231.36 : x
  2. Step 2: Convert to fraction form
    24,818.64/37,218.24 = 9,231.36/x
  3. Step 3: Cross multiply
    24,818.64x = 37,218.24 × 9,231.36
  4. Step 4: Simplify right side
    24,818.64x = 343,574,972.01
  5. Step 5: Solve for x
    x = 343,574,972.01/24,818.64
  6. Step 6: Final answer
    x = 13,843.42

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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.