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Finding the Fourth Proportional to 13,006.01, 19,509.83 and 5,213.81

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Solution

The fourth proportional to 13,006.01, 19,509.83 and 5,213.81 is: 7,821.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,006.01 : 19,509.83 = 5,213.81 : x
  2. Step 2: Convert to fraction form
    13,006.01/19,509.83 = 5,213.81/x
  3. Step 3: Cross multiply
    13,006.01x = 19,509.83 × 5,213.81
  4. Step 4: Simplify right side
    13,006.01x = 101,720,546.75
  5. Step 5: Solve for x
    x = 101,720,546.75/13,006.01
  6. Step 6: Final answer
    x = 7,821.04

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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.