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Finding the Fourth Proportional to 24,938.10, 37,414.26 and 7,408.26

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Solution

The fourth proportional to 24,938.10, 37,414.26 and 7,408.26 is: 11,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,938.10 : 37,414.26 = 7,408.26 : x
  2. Step 2: Convert to fraction form
    24,938.10/37,414.26 = 7,408.26/x
  3. Step 3: Cross multiply
    24,938.10x = 37,414.26 × 7,408.26
  4. Step 4: Simplify right side
    24,938.10x = 277,174,565.79
  5. Step 5: Solve for x
    x = 277,174,565.79/24,938.10
  6. Step 6: Final answer
    x = 11,114.50

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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.