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Finding the Fourth Proportional to 22,196.84, 33,301.08 and 9,719.33

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Solution

The fourth proportional to 22,196.84, 33,301.08 and 9,719.33 is: 14,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,196.84 : 33,301.08 = 9,719.33 : x
  2. Step 2: Convert to fraction form
    22,196.84/33,301.08 = 9,719.33/x
  3. Step 3: Cross multiply
    22,196.84x = 33,301.08 × 9,719.33
  4. Step 4: Simplify right side
    22,196.84x = 323,664,019.37
  5. Step 5: Solve for x
    x = 323,664,019.37/22,196.84
  6. Step 6: Final answer
    x = 14,581.54

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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.