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Finding the Fourth Proportional to 23,140.80, 34,711.20 and 21,099.60

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Solution

The fourth proportional to 23,140.80, 34,711.20 and 21,099.60 is: 31,649.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140.80 : 34,711.20 = 21,099.60 : x
  2. Step 2: Convert to fraction form
    23,140.80/34,711.20 = 21,099.60/x
  3. Step 3: Cross multiply
    23,140.80x = 34,711.20 × 21,099.60
  4. Step 4: Simplify right side
    23,140.80x = 732,392,435.52
  5. Step 5: Solve for x
    x = 732,392,435.52/23,140.80
  6. Step 6: Final answer
    x = 31,649.40

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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.