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Finding the Fourth Proportional to 13,563.86, 20,331.86 and 5,670.99

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Solution

The fourth proportional to 13,563.86, 20,331.86 and 5,670.99 is: 8,500.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.86 : 20,331.86 = 5,670.99 : x
  2. Step 2: Convert to fraction form
    13,563.86/20,331.86 = 5,670.99/x
  3. Step 3: Cross multiply
    13,563.86x = 20,331.86 × 5,670.99
  4. Step 4: Simplify right side
    13,563.86x = 115,301,746.39
  5. Step 5: Solve for x
    x = 115,301,746.39/13,563.86
  6. Step 6: Final answer
    x = 8,500.66

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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.