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Finding the Fourth Proportional to 24,266.88, 36,401.04 and 6,738

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Solution

The fourth proportional to 24,266.88, 36,401.04 and 6,738 is: 10,107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,266.88 : 36,401.04 = 6,738 : x
  2. Step 2: Convert to fraction form
    24,266.88/36,401.04 = 6,738/x
  3. Step 3: Cross multiply
    24,266.88x = 36,401.04 × 6,738
  4. Step 4: Simplify right side
    24,266.88x = 245,270,207.52
  5. Step 5: Solve for x
    x = 245,270,207.52/24,266.88
  6. Step 6: Final answer
    x = 10,107.20

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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.