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Finding the Fourth Proportional to 27,858.10, 38,446.80 and 15,919.13

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Solution

The fourth proportional to 27,858.10, 38,446.80 and 15,919.13 is: 21,969.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,858.10 : 38,446.80 = 15,919.13 : x
  2. Step 2: Convert to fraction form
    27,858.10/38,446.80 = 15,919.13/x
  3. Step 3: Cross multiply
    27,858.10x = 38,446.80 × 15,919.13
  4. Step 4: Simplify right side
    27,858.10x = 612,039,415.05
  5. Step 5: Solve for x
    x = 612,039,415.05/27,858.10
  6. Step 6: Final answer
    x = 21,969.89

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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.