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Finding the Fourth Proportional to 12,474.68, 18,712.04 and 8,322.80

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Solution

The fourth proportional to 12,474.68, 18,712.04 and 8,322.80 is: 12,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474.68 : 18,712.04 = 8,322.80 : x
  2. Step 2: Convert to fraction form
    12,474.68/18,712.04 = 8,322.80/x
  3. Step 3: Cross multiply
    12,474.68x = 18,712.04 × 8,322.80
  4. Step 4: Simplify right side
    12,474.68x = 155,736,431.34
  5. Step 5: Solve for x
    x = 155,736,431.34/12,474.68
  6. Step 6: Final answer
    x = 12,484.21

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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.