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Finding the Fourth Proportional to 22,194.96, 33,292.40 and 9,043.80

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Solution

The fourth proportional to 22,194.96, 33,292.40 and 9,043.80 is: 13,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,194.96 : 33,292.40 = 9,043.80 : x
  2. Step 2: Convert to fraction form
    22,194.96/33,292.40 = 9,043.80/x
  3. Step 3: Cross multiply
    22,194.96x = 33,292.40 × 9,043.80
  4. Step 4: Simplify right side
    22,194.96x = 301,089,807.12
  5. Step 5: Solve for x
    x = 301,089,807.12/22,194.96
  6. Step 6: Final answer
    x = 13,565.68

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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.