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Finding the Fourth Proportional to 22,642.43, 33,968.43 and 6,848.64

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Solution

The fourth proportional to 22,642.43, 33,968.43 and 6,848.64 is: 10,274.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.43 : 33,968.43 = 6,848.64 : x
  2. Step 2: Convert to fraction form
    22,642.43/33,968.43 = 6,848.64/x
  3. Step 3: Cross multiply
    22,642.43x = 33,968.43 × 6,848.64
  4. Step 4: Simplify right side
    22,642.43x = 232,637,548.44
  5. Step 5: Solve for x
    x = 232,637,548.44/22,642.43
  6. Step 6: Final answer
    x = 10,274.41

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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.