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Finding the Fourth Proportional to 11,727.36, 17,581.68 and 8,020.32

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Solution

The fourth proportional to 11,727.36, 17,581.68 and 8,020.32 is: 12,024.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,727.36 : 17,581.68 = 8,020.32 : x
  2. Step 2: Convert to fraction form
    11,727.36/17,581.68 = 8,020.32/x
  3. Step 3: Cross multiply
    11,727.36x = 17,581.68 × 8,020.32
  4. Step 4: Simplify right side
    11,727.36x = 141,010,699.74
  5. Step 5: Solve for x
    x = 141,010,699.74/11,727.36
  6. Step 6: Final answer
    x = 12,024.08

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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.