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Finding the Fourth Proportional to 30,627.40, 42,263.22 and 17,197.60

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Solution

The fourth proportional to 30,627.40, 42,263.22 and 17,197.60 is: 23,731.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,627.40 : 42,263.22 = 17,197.60 : x
  2. Step 2: Convert to fraction form
    30,627.40/42,263.22 = 17,197.60/x
  3. Step 3: Cross multiply
    30,627.40x = 42,263.22 × 17,197.60
  4. Step 4: Simplify right side
    30,627.40x = 726,825,952.27
  5. Step 5: Solve for x
    x = 726,825,952.27/30,627.40
  6. Step 6: Final answer
    x = 23,731.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.