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Finding the Fourth Proportional to 18,804.16, 25,947.84 and 11,249

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Solution

The fourth proportional to 18,804.16, 25,947.84 and 11,249 is: 15,522.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,804.16 : 25,947.84 = 11,249 : x
  2. Step 2: Convert to fraction form
    18,804.16/25,947.84 = 11,249/x
  3. Step 3: Cross multiply
    18,804.16x = 25,947.84 × 11,249
  4. Step 4: Simplify right side
    18,804.16x = 291,887,252.16
  5. Step 5: Solve for x
    x = 291,887,252.16/18,804.16
  6. Step 6: Final answer
    x = 15,522.48

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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.