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Finding the Fourth Proportional to 21,677.94, 32,497.19 and 8,342.42

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Solution

The fourth proportional to 21,677.94, 32,497.19 and 8,342.42 is: 12,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,677.94 : 32,497.19 = 8,342.42 : x
  2. Step 2: Convert to fraction form
    21,677.94/32,497.19 = 8,342.42/x
  3. Step 3: Cross multiply
    21,677.94x = 32,497.19 × 8,342.42
  4. Step 4: Simplify right side
    21,677.94x = 271,105,207.80
  5. Step 5: Solve for x
    x = 271,105,207.80/21,677.94
  6. Step 6: Final answer
    x = 12,506.04

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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.