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Finding the Fourth Proportional to 13,783.24, 20,663.16 and 5,469.10

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Solution

The fourth proportional to 13,783.24, 20,663.16 and 5,469.10 is: 8,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.24 : 20,663.16 = 5,469.10 : x
  2. Step 2: Convert to fraction form
    13,783.24/20,663.16 = 5,469.10/x
  3. Step 3: Cross multiply
    13,783.24x = 20,663.16 × 5,469.10
  4. Step 4: Simplify right side
    13,783.24x = 113,008,888.36
  5. Step 5: Solve for x
    x = 113,008,888.36/13,783.24
  6. Step 6: Final answer
    x = 8,199.01

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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.