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Finding the Fourth Proportional to 13,414.01, 20,127.72 and 6,023.75

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Solution

The fourth proportional to 13,414.01, 20,127.72 and 6,023.75 is: 9,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.01 : 20,127.72 = 6,023.75 : x
  2. Step 2: Convert to fraction form
    13,414.01/20,127.72 = 6,023.75/x
  3. Step 3: Cross multiply
    13,414.01x = 20,127.72 × 6,023.75
  4. Step 4: Simplify right side
    13,414.01x = 121,244,353.35
  5. Step 5: Solve for x
    x = 121,244,353.35/13,414.01
  6. Step 6: Final answer
    x = 9,038.64

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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.