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Finding the Fourth Proportional to 22,033.45, 33,055.64 and 10,333

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Solution

The fourth proportional to 22,033.45, 33,055.64 and 10,333 is: 15,502.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,033.45 : 33,055.64 = 10,333 : x
  2. Step 2: Convert to fraction form
    22,033.45/33,055.64 = 10,333/x
  3. Step 3: Cross multiply
    22,033.45x = 33,055.64 × 10,333
  4. Step 4: Simplify right side
    22,033.45x = 341,563,928.12
  5. Step 5: Solve for x
    x = 341,563,928.12/22,033.45
  6. Step 6: Final answer
    x = 15,502.06

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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.