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Finding the Fourth Proportional to 24,934.71, 37,408.23 and 7,404.52

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Solution

The fourth proportional to 24,934.71, 37,408.23 and 7,404.52 is: 11,108.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,934.71 : 37,408.23 = 7,404.52 : x
  2. Step 2: Convert to fraction form
    24,934.71/37,408.23 = 7,404.52/x
  3. Step 3: Cross multiply
    24,934.71x = 37,408.23 × 7,404.52
  4. Step 4: Simplify right side
    24,934.71x = 276,989,987.20
  5. Step 5: Solve for x
    x = 276,989,987.20/24,934.71
  6. Step 6: Final answer
    x = 11,108.61

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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.