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Finding the Fourth Proportional to 22,358.84, 33,544.96 and 9,024.97

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Solution

The fourth proportional to 22,358.84, 33,544.96 and 9,024.97 is: 13,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.84 : 33,544.96 = 9,024.97 : x
  2. Step 2: Convert to fraction form
    22,358.84/33,544.96 = 9,024.97/x
  3. Step 3: Cross multiply
    22,358.84x = 33,544.96 × 9,024.97
  4. Step 4: Simplify right side
    22,358.84x = 302,742,257.65
  5. Step 5: Solve for x
    x = 302,742,257.65/22,358.84
  6. Step 6: Final answer
    x = 13,540.16

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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.