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Finding the Fourth Proportional to 23,815.13, 32,866.34 and 13,204.76

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Solution

The fourth proportional to 23,815.13, 32,866.34 and 13,204.76 is: 18,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.13 : 32,866.34 = 13,204.76 : x
  2. Step 2: Convert to fraction form
    23,815.13/32,866.34 = 13,204.76/x
  3. Step 3: Cross multiply
    23,815.13x = 32,866.34 × 13,204.76
  4. Step 4: Simplify right side
    23,815.13x = 433,992,147.92
  5. Step 5: Solve for x
    x = 433,992,147.92/23,815.13
  6. Step 6: Final answer
    x = 18,223.38

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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.