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Finding the Fourth Proportional to 23,402.98, 32,296.65 and 12,793.54

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Solution

The fourth proportional to 23,402.98, 32,296.65 and 12,793.54 is: 17,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,402.98 : 32,296.65 = 12,793.54 : x
  2. Step 2: Convert to fraction form
    23,402.98/32,296.65 = 12,793.54/x
  3. Step 3: Cross multiply
    23,402.98x = 32,296.65 × 12,793.54
  4. Step 4: Simplify right side
    23,402.98x = 413,188,483.64
  5. Step 5: Solve for x
    x = 413,188,483.64/23,402.98
  6. Step 6: Final answer
    x = 17,655.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.