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Finding the Fourth Proportional to 23,434.57, 32,339.70 and 12,824.20

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Solution

The fourth proportional to 23,434.57, 32,339.70 and 12,824.20 is: 17,697.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,434.57 : 32,339.70 = 12,824.20 : x
  2. Step 2: Convert to fraction form
    23,434.57/32,339.70 = 12,824.20/x
  3. Step 3: Cross multiply
    23,434.57x = 32,339.70 × 12,824.20
  4. Step 4: Simplify right side
    23,434.57x = 414,730,780.74
  5. Step 5: Solve for x
    x = 414,730,780.74/23,434.57
  6. Step 6: Final answer
    x = 17,697.39

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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.