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Finding the Fourth Proportional to 22,164.20, 33,193.44 and 12,784.48

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Solution

The fourth proportional to 22,164.20, 33,193.44 and 12,784.48 is: 19,146.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,164.20 : 33,193.44 = 12,784.48 : x
  2. Step 2: Convert to fraction form
    22,164.20/33,193.44 = 12,784.48/x
  3. Step 3: Cross multiply
    22,164.20x = 33,193.44 × 12,784.48
  4. Step 4: Simplify right side
    22,164.20x = 424,360,869.81
  5. Step 5: Solve for x
    x = 424,360,869.81/22,164.20
  6. Step 6: Final answer
    x = 19,146.23

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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.