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Finding the Fourth Proportional to 22,443.64, 33,655.11 and 6,643.02

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Solution

The fourth proportional to 22,443.64, 33,655.11 and 6,643.02 is: 9,961.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,443.64 : 33,655.11 = 6,643.02 : x
  2. Step 2: Convert to fraction form
    22,443.64/33,655.11 = 6,643.02/x
  3. Step 3: Cross multiply
    22,443.64x = 33,655.11 × 6,643.02
  4. Step 4: Simplify right side
    22,443.64x = 223,571,568.83
  5. Step 5: Solve for x
    x = 223,571,568.83/22,443.64
  6. Step 6: Final answer
    x = 9,961.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.