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Finding the Fourth Proportional to 13,866.32, 20,800.53 and 4,005.68

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Solution

The fourth proportional to 13,866.32, 20,800.53 and 4,005.68 is: 6,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.32 : 20,800.53 = 4,005.68 : x
  2. Step 2: Convert to fraction form
    13,866.32/20,800.53 = 4,005.68/x
  3. Step 3: Cross multiply
    13,866.32x = 20,800.53 × 4,005.68
  4. Step 4: Simplify right side
    13,866.32x = 83,320,163.01
  5. Step 5: Solve for x
    x = 83,320,163.01/13,866.32
  6. Step 6: Final answer
    x = 6,008.81

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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.