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Finding the Fourth Proportional to 13,904.38, 20,852.16 and 4,542.27

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Solution

The fourth proportional to 13,904.38, 20,852.16 and 4,542.27 is: 6,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,904.38 : 20,852.16 = 4,542.27 : x
  2. Step 2: Convert to fraction form
    13,904.38/20,852.16 = 4,542.27/x
  3. Step 3: Cross multiply
    13,904.38x = 20,852.16 × 4,542.27
  4. Step 4: Simplify right side
    13,904.38x = 94,716,140.80
  5. Step 5: Solve for x
    x = 94,716,140.80/13,904.38
  6. Step 6: Final answer
    x = 6,811.96

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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.