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Finding the Fourth Proportional to 13,588.66, 20,383.13 and 3,727.93

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Solution

The fourth proportional to 13,588.66, 20,383.13 and 3,727.93 is: 5,591.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588.66 : 20,383.13 = 3,727.93 : x
  2. Step 2: Convert to fraction form
    13,588.66/20,383.13 = 3,727.93/x
  3. Step 3: Cross multiply
    13,588.66x = 20,383.13 × 3,727.93
  4. Step 4: Simplify right side
    13,588.66x = 75,986,881.82
  5. Step 5: Solve for x
    x = 75,986,881.82/13,588.66
  6. Step 6: Final answer
    x = 5,591.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.