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Finding the Fourth Proportional to 22,405.60, 30,947.43 and 16,427.80

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Solution

The fourth proportional to 22,405.60, 30,947.43 and 16,427.80 is: 22,690.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.60 : 30,947.43 = 16,427.80 : x
  2. Step 2: Convert to fraction form
    22,405.60/30,947.43 = 16,427.80/x
  3. Step 3: Cross multiply
    22,405.60x = 30,947.43 × 16,427.80
  4. Step 4: Simplify right side
    22,405.60x = 508,398,190.55
  5. Step 5: Solve for x
    x = 508,398,190.55/22,405.60
  6. Step 6: Final answer
    x = 22,690.68

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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.