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Finding the Fourth Proportional to 13,801.77, 19,047.43 and 7,833.83

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Solution

The fourth proportional to 13,801.77, 19,047.43 and 7,833.83 is: 10,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,801.77 : 19,047.43 = 7,833.83 : x
  2. Step 2: Convert to fraction form
    13,801.77/19,047.43 = 7,833.83/x
  3. Step 3: Cross multiply
    13,801.77x = 19,047.43 × 7,833.83
  4. Step 4: Simplify right side
    13,801.77x = 149,214,272.65
  5. Step 5: Solve for x
    x = 149,214,272.65/13,801.77
  6. Step 6: Final answer
    x = 10,811.24

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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.