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Finding the Fourth Proportional to 19,878.65, 27,431.40 and 12,224.83

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Solution

The fourth proportional to 19,878.65, 27,431.40 and 12,224.83 is: 16,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.65 : 27,431.40 = 12,224.83 : x
  2. Step 2: Convert to fraction form
    19,878.65/27,431.40 = 12,224.83/x
  3. Step 3: Cross multiply
    19,878.65x = 27,431.40 × 12,224.83
  4. Step 4: Simplify right side
    19,878.65x = 335,344,133.08
  5. Step 5: Solve for x
    x = 335,344,133.08/19,878.65
  6. Step 6: Final answer
    x = 16,869.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.