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Finding the Fourth Proportional to 24,764.25, 37,146.39 and 7,234.23

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Solution

The fourth proportional to 24,764.25, 37,146.39 and 7,234.23 is: 10,851.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,764.25 : 37,146.39 = 7,234.23 : x
  2. Step 2: Convert to fraction form
    24,764.25/37,146.39 = 7,234.23/x
  3. Step 3: Cross multiply
    24,764.25x = 37,146.39 × 7,234.23
  4. Step 4: Simplify right side
    24,764.25x = 268,725,528.93
  5. Step 5: Solve for x
    x = 268,725,528.93/24,764.25
  6. Step 6: Final answer
    x = 10,851.35

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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.