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Finding the Fourth Proportional to 23,434.38, 32,339.38 and 12,824.02

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Solution

The fourth proportional to 23,434.38, 32,339.38 and 12,824.02 is: 17,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.38 : 32,339.38 = 12,824.02 : x
  2. Step 2: Convert to fraction form
    23,434.38/32,339.38 = 12,824.02/x
  3. Step 3: Cross multiply
    23,434.38x = 32,339.38 × 12,824.02
  4. Step 4: Simplify right side
    23,434.38x = 414,720,855.91
  5. Step 5: Solve for x
    x = 414,720,855.91/23,434.38
  6. Step 6: Final answer
    x = 17,697.11

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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.