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Finding the Fourth Proportional to 19,878.40, 27,400.84 and 16,288.08

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Solution

The fourth proportional to 19,878.40, 27,400.84 and 16,288.08 is: 22,451.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.40 : 27,400.84 = 16,288.08 : x
  2. Step 2: Convert to fraction form
    19,878.40/27,400.84 = 16,288.08/x
  3. Step 3: Cross multiply
    19,878.40x = 27,400.84 × 16,288.08
  4. Step 4: Simplify right side
    19,878.40x = 446,307,073.99
  5. Step 5: Solve for x
    x = 446,307,073.99/19,878.40
  6. Step 6: Final answer
    x = 22,451.86

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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.