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Finding the Fourth Proportional to 22,297.49, 33,434.14 and 9,802.90

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Solution

The fourth proportional to 22,297.49, 33,434.14 and 9,802.90 is: 14,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.49 : 33,434.14 = 9,802.90 : x
  2. Step 2: Convert to fraction form
    22,297.49/33,434.14 = 9,802.90/x
  3. Step 3: Cross multiply
    22,297.49x = 33,434.14 × 9,802.90
  4. Step 4: Simplify right side
    22,297.49x = 327,751,531.01
  5. Step 5: Solve for x
    x = 327,751,531.01/22,297.49
  6. Step 6: Final answer
    x = 14,699.03

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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.