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Finding the Fourth Proportional to 22,267.80, 33,377.40 and 9,785.70

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Solution

The fourth proportional to 22,267.80, 33,377.40 and 9,785.70 is: 14,667.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,267.80 : 33,377.40 = 9,785.70 : x
  2. Step 2: Convert to fraction form
    22,267.80/33,377.40 = 9,785.70/x
  3. Step 3: Cross multiply
    22,267.80x = 33,377.40 × 9,785.70
  4. Step 4: Simplify right side
    22,267.80x = 326,621,223.18
  5. Step 5: Solve for x
    x = 326,621,223.18/22,267.80
  6. Step 6: Final answer
    x = 14,667.87

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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.