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Finding the Fourth Proportional to 22,669.20, 33,991.65 and 9,506.70

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Solution

The fourth proportional to 22,669.20, 33,991.65 and 9,506.70 is: 14,254.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,669.20 : 33,991.65 = 9,506.70 : x
  2. Step 2: Convert to fraction form
    22,669.20/33,991.65 = 9,506.70/x
  3. Step 3: Cross multiply
    22,669.20x = 33,991.65 × 9,506.70
  4. Step 4: Simplify right side
    22,669.20x = 323,148,419.06
  5. Step 5: Solve for x
    x = 323,148,419.06/22,669.20
  6. Step 6: Final answer
    x = 14,254.95

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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.