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Finding the Fourth Proportional to 19,878.50, 27,403.42 and 13,891.58

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Solution

The fourth proportional to 19,878.50, 27,403.42 and 13,891.58 is: 19,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.50 : 27,403.42 = 13,891.58 : x
  2. Step 2: Convert to fraction form
    19,878.50/27,403.42 = 13,891.58/x
  3. Step 3: Cross multiply
    19,878.50x = 27,403.42 × 13,891.58
  4. Step 4: Simplify right side
    19,878.50x = 380,676,801.20
  5. Step 5: Solve for x
    x = 380,676,801.20/19,878.50
  6. Step 6: Final answer
    x = 19,150.18

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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.