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Finding the Fourth Proportional to 24,806.70, 37,214.15 and 11,493

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Solution

The fourth proportional to 24,806.70, 37,214.15 and 11,493 is: 17,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.70 : 37,214.15 = 11,493 : x
  2. Step 2: Convert to fraction form
    24,806.70/37,214.15 = 11,493/x
  3. Step 3: Cross multiply
    24,806.70x = 37,214.15 × 11,493
  4. Step 4: Simplify right side
    24,806.70x = 427,702,168.49
  5. Step 5: Solve for x
    x = 427,702,168.49/24,806.70
  6. Step 6: Final answer
    x = 17,241.40

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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.