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Finding the Fourth Proportional to 13,642.52, 18,823.83 and 7,976.16

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Solution

The fourth proportional to 13,642.52, 18,823.83 and 7,976.16 is: 11,005.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.52 : 18,823.83 = 7,976.16 : x
  2. Step 2: Convert to fraction form
    13,642.52/18,823.83 = 7,976.16/x
  3. Step 3: Cross multiply
    13,642.52x = 18,823.83 × 7,976.16
  4. Step 4: Simplify right side
    13,642.52x = 150,141,879.89
  5. Step 5: Solve for x
    x = 150,141,879.89/13,642.52
  6. Step 6: Final answer
    x = 11,005.44

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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.