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Finding the Fourth Proportional to 13,403.74, 20,102.42 and 5,504.14

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Solution

The fourth proportional to 13,403.74, 20,102.42 and 5,504.14 is: 8,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,403.74 : 20,102.42 = 5,504.14 : x
  2. Step 2: Convert to fraction form
    13,403.74/20,102.42 = 5,504.14/x
  3. Step 3: Cross multiply
    13,403.74x = 20,102.42 × 5,504.14
  4. Step 4: Simplify right side
    13,403.74x = 110,646,534.02
  5. Step 5: Solve for x
    x = 110,646,534.02/13,403.74
  6. Step 6: Final answer
    x = 8,254.90

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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.