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Finding the Fourth Proportional to 22,283.84, 33,425.84 and 9,133.28

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Solution

The fourth proportional to 22,283.84, 33,425.84 and 9,133.28 is: 13,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.84 : 33,425.84 = 9,133.28 : x
  2. Step 2: Convert to fraction form
    22,283.84/33,425.84 = 9,133.28/x
  3. Step 3: Cross multiply
    22,283.84x = 33,425.84 × 9,133.28
  4. Step 4: Simplify right side
    22,283.84x = 305,287,555.96
  5. Step 5: Solve for x
    x = 305,287,555.96/22,283.84
  6. Step 6: Final answer
    x = 13,699.95

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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.