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Finding the Fourth Proportional to 22,641.93, 33,956.82 and 6,842.88

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Solution

The fourth proportional to 22,641.93, 33,956.82 and 6,842.88 is: 10,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.93 : 33,956.82 = 6,842.88 : x
  2. Step 2: Convert to fraction form
    22,641.93/33,956.82 = 6,842.88/x
  3. Step 3: Cross multiply
    22,641.93x = 33,956.82 × 6,842.88
  4. Step 4: Simplify right side
    22,641.93x = 232,362,444.44
  5. Step 5: Solve for x
    x = 232,362,444.44/22,641.93
  6. Step 6: Final answer
    x = 10,262.48

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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.