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Finding the Fourth Proportional to 13,420.64, 20,129.76 and 6,023.12

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Solution

The fourth proportional to 13,420.64, 20,129.76 and 6,023.12 is: 9,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.64 : 20,129.76 = 6,023.12 : x
  2. Step 2: Convert to fraction form
    13,420.64/20,129.76 = 6,023.12/x
  3. Step 3: Cross multiply
    13,420.64x = 20,129.76 × 6,023.12
  4. Step 4: Simplify right side
    13,420.64x = 121,243,960.05
  5. Step 5: Solve for x
    x = 121,243,960.05/13,420.64
  6. Step 6: Final answer
    x = 9,034.14

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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.