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Finding the Fourth Proportional to 21,410.87, 32,097.84 and 8,272.46

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Solution

The fourth proportional to 21,410.87, 32,097.84 and 8,272.46 is: 12,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.87 : 32,097.84 = 8,272.46 : x
  2. Step 2: Convert to fraction form
    21,410.87/32,097.84 = 8,272.46/x
  3. Step 3: Cross multiply
    21,410.87x = 32,097.84 × 8,272.46
  4. Step 4: Simplify right side
    21,410.87x = 265,527,937.00
  5. Step 5: Solve for x
    x = 265,527,937.00/21,410.87
  6. Step 6: Final answer
    x = 12,401.55

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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.