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Finding the Fourth Proportional to 13,471.13, 20,206.22 and 4,110.77

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Solution

The fourth proportional to 13,471.13, 20,206.22 and 4,110.77 is: 6,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.13 : 20,206.22 = 4,110.77 : x
  2. Step 2: Convert to fraction form
    13,471.13/20,206.22 = 4,110.77/x
  3. Step 3: Cross multiply
    13,471.13x = 20,206.22 × 4,110.77
  4. Step 4: Simplify right side
    13,471.13x = 83,063,001.40
  5. Step 5: Solve for x
    x = 83,063,001.40/13,471.13
  6. Step 6: Final answer
    x = 6,166.00

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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.