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Finding the Fourth Proportional to 23,132.80, 34,677.94 and 8,338.10

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Solution

The fourth proportional to 23,132.80, 34,677.94 and 8,338.10 is: 12,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132.80 : 34,677.94 = 8,338.10 : x
  2. Step 2: Convert to fraction form
    23,132.80/34,677.94 = 8,338.10/x
  3. Step 3: Cross multiply
    23,132.80x = 34,677.94 × 8,338.10
  4. Step 4: Simplify right side
    23,132.80x = 289,148,131.51
  5. Step 5: Solve for x
    x = 289,148,131.51/23,132.80
  6. Step 6: Final answer
    x = 12,499.49

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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.