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Finding the Fourth Proportional to 21,494.74, 32,244.12 and 7,452.58

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Solution

The fourth proportional to 21,494.74, 32,244.12 and 7,452.58 is: 11,179.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.74 : 32,244.12 = 7,452.58 : x
  2. Step 2: Convert to fraction form
    21,494.74/32,244.12 = 7,452.58/x
  3. Step 3: Cross multiply
    21,494.74x = 32,244.12 × 7,452.58
  4. Step 4: Simplify right side
    21,494.74x = 240,301,883.83
  5. Step 5: Solve for x
    x = 240,301,883.83/21,494.74
  6. Step 6: Final answer
    x = 11,179.57

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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.