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Finding the Fourth Proportional to 22,133.60, 33,206.55 and 9,654.71

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Solution

The fourth proportional to 22,133.60, 33,206.55 and 9,654.71 is: 14,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,133.60 : 33,206.55 = 9,654.71 : x
  2. Step 2: Convert to fraction form
    22,133.60/33,206.55 = 9,654.71/x
  3. Step 3: Cross multiply
    22,133.60x = 33,206.55 × 9,654.71
  4. Step 4: Simplify right side
    22,133.60x = 320,599,610.35
  5. Step 5: Solve for x
    x = 320,599,610.35/22,133.60
  6. Step 6: Final answer
    x = 14,484.75

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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.