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Finding the Fourth Proportional to 22,429.70, 33,632.40 and 9,283.40

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Solution

The fourth proportional to 22,429.70, 33,632.40 and 9,283.40 is: 13,920.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,429.70 : 33,632.40 = 9,283.40 : x
  2. Step 2: Convert to fraction form
    22,429.70/33,632.40 = 9,283.40/x
  3. Step 3: Cross multiply
    22,429.70x = 33,632.40 × 9,283.40
  4. Step 4: Simplify right side
    22,429.70x = 312,223,022.16
  5. Step 5: Solve for x
    x = 312,223,022.16/22,429.70
  6. Step 6: Final answer
    x = 13,920.07

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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.