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Finding the Fourth Proportional to 22,258.65, 33,388.66 and 9,772.25

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Solution

The fourth proportional to 22,258.65, 33,388.66 and 9,772.25 is: 14,658.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,258.65 : 33,388.66 = 9,772.25 : x
  2. Step 2: Convert to fraction form
    22,258.65/33,388.66 = 9,772.25/x
  3. Step 3: Cross multiply
    22,258.65x = 33,388.66 × 9,772.25
  4. Step 4: Simplify right side
    22,258.65x = 326,282,122.99
  5. Step 5: Solve for x
    x = 326,282,122.99/22,258.65
  6. Step 6: Final answer
    x = 14,658.67

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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.