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Finding the Fourth Proportional to 23,197.70, 34,802.82 and 16,542.60

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Solution

The fourth proportional to 23,197.70, 34,802.82 and 16,542.60 is: 24,818.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.70 : 34,802.82 = 16,542.60 : x
  2. Step 2: Convert to fraction form
    23,197.70/34,802.82 = 16,542.60/x
  3. Step 3: Cross multiply
    23,197.70x = 34,802.82 × 16,542.60
  4. Step 4: Simplify right side
    23,197.70x = 575,729,130.13
  5. Step 5: Solve for x
    x = 575,729,130.13/23,197.70
  6. Step 6: Final answer
    x = 24,818.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.