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Finding the Fourth Proportional to 21,411.84, 32,121.80 and 8,265.52

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Solution

The fourth proportional to 21,411.84, 32,121.80 and 8,265.52 is: 12,399.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,411.84 : 32,121.80 = 8,265.52 : x
  2. Step 2: Convert to fraction form
    21,411.84/32,121.80 = 8,265.52/x
  3. Step 3: Cross multiply
    21,411.84x = 32,121.80 × 8,265.52
  4. Step 4: Simplify right side
    21,411.84x = 265,503,380.34
  5. Step 5: Solve for x
    x = 265,503,380.34/21,411.84
  6. Step 6: Final answer
    x = 12,399.84

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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.