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Finding the Fourth Proportional to 24,357.52, 36,536.01 and 7,717.54

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Solution

The fourth proportional to 24,357.52, 36,536.01 and 7,717.54 is: 11,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.52 : 36,536.01 = 7,717.54 : x
  2. Step 2: Convert to fraction form
    24,357.52/36,536.01 = 7,717.54/x
  3. Step 3: Cross multiply
    24,357.52x = 36,536.01 × 7,717.54
  4. Step 4: Simplify right side
    24,357.52x = 281,968,118.62
  5. Step 5: Solve for x
    x = 281,968,118.62/24,357.52
  6. Step 6: Final answer
    x = 11,576.22

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Why These Related Problems?

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