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Finding the Fourth Proportional to 22,277.60, 33,416.40 and 13,983.20

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Solution

The fourth proportional to 22,277.60, 33,416.40 and 13,983.20 is: 20,974.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277.60 : 33,416.40 = 13,983.20 : x
  2. Step 2: Convert to fraction form
    22,277.60/33,416.40 = 13,983.20/x
  3. Step 3: Cross multiply
    22,277.60x = 33,416.40 × 13,983.20
  4. Step 4: Simplify right side
    22,277.60x = 467,268,204.48
  5. Step 5: Solve for x
    x = 467,268,204.48/22,277.60
  6. Step 6: Final answer
    x = 20,974.80

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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.