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Finding the Fourth Proportional to 21,678.44, 32,497.94 and 8,342.92

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Solution

The fourth proportional to 21,678.44, 32,497.94 and 8,342.92 is: 12,506.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,678.44 : 32,497.94 = 8,342.92 : x
  2. Step 2: Convert to fraction form
    21,678.44/32,497.94 = 8,342.92/x
  3. Step 3: Cross multiply
    21,678.44x = 32,497.94 × 8,342.92
  4. Step 4: Simplify right side
    21,678.44x = 271,127,713.58
  5. Step 5: Solve for x
    x = 271,127,713.58/21,678.44
  6. Step 6: Final answer
    x = 12,506.79

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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.