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Finding the Fourth Proportional to 24,742.39, 37,113.06 and 6,022.53

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Solution

The fourth proportional to 24,742.39, 37,113.06 and 6,022.53 is: 9,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.39 : 37,113.06 = 6,022.53 : x
  2. Step 2: Convert to fraction form
    24,742.39/37,113.06 = 6,022.53/x
  3. Step 3: Cross multiply
    24,742.39x = 37,113.06 × 6,022.53
  4. Step 4: Simplify right side
    24,742.39x = 223,514,301.56
  5. Step 5: Solve for x
    x = 223,514,301.56/24,742.39
  6. Step 6: Final answer
    x = 9,033.66

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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.