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Finding the Fourth Proportional to 13,803.87, 19,051.82 and 8,138.28

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Solution

The fourth proportional to 13,803.87, 19,051.82 and 8,138.28 is: 11,232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,803.87 : 19,051.82 = 8,138.28 : x
  2. Step 2: Convert to fraction form
    13,803.87/19,051.82 = 8,138.28/x
  3. Step 3: Cross multiply
    13,803.87x = 19,051.82 × 8,138.28
  4. Step 4: Simplify right side
    13,803.87x = 155,049,045.67
  5. Step 5: Solve for x
    x = 155,049,045.67/13,803.87
  6. Step 6: Final answer
    x = 11,232.29

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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.