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Finding the Fourth Proportional to 24,576.75, 36,865.07 and 7,046.58

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Solution

The fourth proportional to 24,576.75, 36,865.07 and 7,046.58 is: 10,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.75 : 36,865.07 = 7,046.58 : x
  2. Step 2: Convert to fraction form
    24,576.75/36,865.07 = 7,046.58/x
  3. Step 3: Cross multiply
    24,576.75x = 36,865.07 × 7,046.58
  4. Step 4: Simplify right side
    24,576.75x = 259,772,782.19
  5. Step 5: Solve for x
    x = 259,772,782.19/24,576.75
  6. Step 6: Final answer
    x = 10,569.86

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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.