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Finding the Fourth Proportional to 22,282.14, 33,427.59 and 9,802.14

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Solution

The fourth proportional to 22,282.14, 33,427.59 and 9,802.14 is: 14,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,282.14 : 33,427.59 = 9,802.14 : x
  2. Step 2: Convert to fraction form
    22,282.14/33,427.59 = 9,802.14/x
  3. Step 3: Cross multiply
    22,282.14x = 33,427.59 × 9,802.14
  4. Step 4: Simplify right side
    22,282.14x = 327,661,917.04
  5. Step 5: Solve for x
    x = 327,661,917.04/22,282.14
  6. Step 6: Final answer
    x = 14,705.14

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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.