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Finding the Fourth Proportional to 22,211.10, 33,289.65 and 9,704.70

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Solution

The fourth proportional to 22,211.10, 33,289.65 and 9,704.70 is: 14,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,211.10 : 33,289.65 = 9,704.70 : x
  2. Step 2: Convert to fraction form
    22,211.10/33,289.65 = 9,704.70/x
  3. Step 3: Cross multiply
    22,211.10x = 33,289.65 × 9,704.70
  4. Step 4: Simplify right side
    22,211.10x = 323,066,066.36
  5. Step 5: Solve for x
    x = 323,066,066.36/22,211.10
  6. Step 6: Final answer
    x = 14,545.25

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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.