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Finding the Fourth Proportional to 22,884.68, 34,340 and 12,354.56

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Solution

The fourth proportional to 22,884.68, 34,340 and 12,354.56 is: 18,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,884.68 : 34,340 = 12,354.56 : x
  2. Step 2: Convert to fraction form
    22,884.68/34,340 = 12,354.56/x
  3. Step 3: Cross multiply
    22,884.68x = 34,340 × 12,354.56
  4. Step 4: Simplify right side
    22,884.68x = 424,255,590.40
  5. Step 5: Solve for x
    x = 424,255,590.40/22,884.68
  6. Step 6: Final answer
    x = 18,538.85

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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.