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Finding the Fourth Proportional to 23,189.03, 34,789.70 and 8,402.18

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Solution

The fourth proportional to 23,189.03, 34,789.70 and 8,402.18 is: 12,605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,189.03 : 34,789.70 = 8,402.18 : x
  2. Step 2: Convert to fraction form
    23,189.03/34,789.70 = 8,402.18/x
  3. Step 3: Cross multiply
    23,189.03x = 34,789.70 × 8,402.18
  4. Step 4: Simplify right side
    23,189.03x = 292,309,364.30
  5. Step 5: Solve for x
    x = 292,309,364.30/23,189.03
  6. Step 6: Final answer
    x = 12,605.50

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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.