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Finding the Fourth Proportional to 13,927.13, 19,219.50 and 8,338.13

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Solution

The fourth proportional to 13,927.13, 19,219.50 and 8,338.13 is: 11,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.13 : 19,219.50 = 8,338.13 : x
  2. Step 2: Convert to fraction form
    13,927.13/19,219.50 = 8,338.13/x
  3. Step 3: Cross multiply
    13,927.13x = 19,219.50 × 8,338.13
  4. Step 4: Simplify right side
    13,927.13x = 160,254,593.44
  5. Step 5: Solve for x
    x = 160,254,593.44/13,927.13
  6. Step 6: Final answer
    x = 11,506.65

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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.