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Finding the Fourth Proportional to 13,815.99, 19,077.32 and 11,264.16

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Solution

The fourth proportional to 13,815.99, 19,077.32 and 11,264.16 is: 15,553.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,815.99 : 19,077.32 = 11,264.16 : x
  2. Step 2: Convert to fraction form
    13,815.99/19,077.32 = 11,264.16/x
  3. Step 3: Cross multiply
    13,815.99x = 19,077.32 × 11,264.16
  4. Step 4: Simplify right side
    13,815.99x = 214,889,928.53
  5. Step 5: Solve for x
    x = 214,889,928.53/13,815.99
  6. Step 6: Final answer
    x = 15,553.71

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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.