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Finding the Fourth Proportional to 21,401.84, 32,099.58 and 8,252.57

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Solution

The fourth proportional to 21,401.84, 32,099.58 and 8,252.57 is: 12,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,401.84 : 32,099.58 = 8,252.57 : x
  2. Step 2: Convert to fraction form
    21,401.84/32,099.58 = 8,252.57/x
  3. Step 3: Cross multiply
    21,401.84x = 32,099.58 × 8,252.57
  4. Step 4: Simplify right side
    21,401.84x = 264,903,870.42
  5. Step 5: Solve for x
    x = 264,903,870.42/21,401.84
  6. Step 6: Final answer
    x = 12,377.62

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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.