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Finding the Fourth Proportional to 19,878.09, 27,402.87 and 13,891.17

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Solution

The fourth proportional to 19,878.09, 27,402.87 and 13,891.17 is: 19,149.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,878.09 : 27,402.87 = 13,891.17 : x
  2. Step 2: Convert to fraction form
    19,878.09/27,402.87 = 13,891.17/x
  3. Step 3: Cross multiply
    19,878.09x = 27,402.87 × 13,891.17
  4. Step 4: Simplify right side
    19,878.09x = 380,657,925.66
  5. Step 5: Solve for x
    x = 380,657,925.66/19,878.09
  6. Step 6: Final answer
    x = 19,149.62

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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.