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Finding the Fourth Proportional to 13,266.83, 18,309.99 and 8,564.78

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Solution

The fourth proportional to 13,266.83, 18,309.99 and 8,564.78 is: 11,820.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,266.83 : 18,309.99 = 8,564.78 : x
  2. Step 2: Convert to fraction form
    13,266.83/18,309.99 = 8,564.78/x
  3. Step 3: Cross multiply
    13,266.83x = 18,309.99 × 8,564.78
  4. Step 4: Simplify right side
    13,266.83x = 156,821,036.15
  5. Step 5: Solve for x
    x = 156,821,036.15/13,266.83
  6. Step 6: Final answer
    x = 11,820.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.