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Finding the Fourth Proportional to 19,878.52, 27,423.10 and 12,322.09

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Solution

The fourth proportional to 19,878.52, 27,423.10 and 12,322.09 is: 16,998.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.52 : 27,423.10 = 12,322.09 : x
  2. Step 2: Convert to fraction form
    19,878.52/27,423.10 = 12,322.09/x
  3. Step 3: Cross multiply
    19,878.52x = 27,423.10 × 12,322.09
  4. Step 4: Simplify right side
    19,878.52x = 337,910,005.14
  5. Step 5: Solve for x
    x = 337,910,005.14/19,878.52
  6. Step 6: Final answer
    x = 16,998.75

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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.