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Finding the Fourth Proportional to 13,430.76, 20,132.64 and 5,108.64

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Solution

The fourth proportional to 13,430.76, 20,132.64 and 5,108.64 is: 7,657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.76 : 20,132.64 = 5,108.64 : x
  2. Step 2: Convert to fraction form
    13,430.76/20,132.64 = 5,108.64/x
  3. Step 3: Cross multiply
    13,430.76x = 20,132.64 × 5,108.64
  4. Step 4: Simplify right side
    13,430.76x = 102,850,410.01
  5. Step 5: Solve for x
    x = 102,850,410.01/13,430.76
  6. Step 6: Final answer
    x = 7,657.83

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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.