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Finding the Fourth Proportional to 12,841.84, 19,226.24 and 8,446.08

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Solution

The fourth proportional to 12,841.84, 19,226.24 and 8,446.08 is: 12,645.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,841.84 : 19,226.24 = 8,446.08 : x
  2. Step 2: Convert to fraction form
    12,841.84/19,226.24 = 8,446.08/x
  3. Step 3: Cross multiply
    12,841.84x = 19,226.24 × 8,446.08
  4. Step 4: Simplify right side
    12,841.84x = 162,386,361.14
  5. Step 5: Solve for x
    x = 162,386,361.14/12,841.84
  6. Step 6: Final answer
    x = 12,645.10

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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.