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Finding the Fourth Proportional to 24,357.84, 36,536.36 and 7,717.83

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Solution

The fourth proportional to 24,357.84, 36,536.36 and 7,717.83 is: 11,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,357.84 : 36,536.36 = 7,717.83 : x
  2. Step 2: Convert to fraction form
    24,357.84/36,536.36 = 7,717.83/x
  3. Step 3: Cross multiply
    24,357.84x = 36,536.36 × 7,717.83
  4. Step 4: Simplify right side
    24,357.84x = 281,981,376.71
  5. Step 5: Solve for x
    x = 281,981,376.71/24,357.84
  6. Step 6: Final answer
    x = 11,576.62

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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.