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Finding the Fourth Proportional to 13,991.13, 19,305.81 and 7,703.64

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Solution

The fourth proportional to 13,991.13, 19,305.81 and 7,703.64 is: 10,629.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.13 : 19,305.81 = 7,703.64 : x
  2. Step 2: Convert to fraction form
    13,991.13/19,305.81 = 7,703.64/x
  3. Step 3: Cross multiply
    13,991.13x = 19,305.81 × 7,703.64
  4. Step 4: Simplify right side
    13,991.13x = 148,725,010.15
  5. Step 5: Solve for x
    x = 148,725,010.15/13,991.13
  6. Step 6: Final answer
    x = 10,629.95

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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.