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Finding the Fourth Proportional to 24,504.62, 36,756.75 and 6,974.42

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Solution

The fourth proportional to 24,504.62, 36,756.75 and 6,974.42 is: 10,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,504.62 : 36,756.75 = 6,974.42 : x
  2. Step 2: Convert to fraction form
    24,504.62/36,756.75 = 6,974.42/x
  3. Step 3: Cross multiply
    24,504.62x = 36,756.75 × 6,974.42
  4. Step 4: Simplify right side
    24,504.62x = 256,357,012.34
  5. Step 5: Solve for x
    x = 256,357,012.34/24,504.62
  6. Step 6: Final answer
    x = 10,461.58

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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.