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Finding the Fourth Proportional to 23,077.11, 34,600.88 and 9,746.49

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Solution

The fourth proportional to 23,077.11, 34,600.88 and 9,746.49 is: 14,613.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,077.11 : 34,600.88 = 9,746.49 : x
  2. Step 2: Convert to fraction form
    23,077.11/34,600.88 = 9,746.49/x
  3. Step 3: Cross multiply
    23,077.11x = 34,600.88 × 9,746.49
  4. Step 4: Simplify right side
    23,077.11x = 337,237,257.62
  5. Step 5: Solve for x
    x = 337,237,257.62/23,077.11
  6. Step 6: Final answer
    x = 14,613.50

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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.