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Finding the Fourth Proportional to 23,291.76, 34,938.92 and 6,650.49

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Solution

The fourth proportional to 23,291.76, 34,938.92 and 6,650.49 is: 9,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.76 : 34,938.92 = 6,650.49 : x
  2. Step 2: Convert to fraction form
    23,291.76/34,938.92 = 6,650.49/x
  3. Step 3: Cross multiply
    23,291.76x = 34,938.92 × 6,650.49
  4. Step 4: Simplify right side
    23,291.76x = 232,360,904.82
  5. Step 5: Solve for x
    x = 232,360,904.82/23,291.76
  6. Step 6: Final answer
    x = 9,976.10

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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.