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Finding the Fourth Proportional to 24,109.65, 33,272.10 and 13,499.19

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Solution

The fourth proportional to 24,109.65, 33,272.10 and 13,499.19 is: 18,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,109.65 : 33,272.10 = 13,499.19 : x
  2. Step 2: Convert to fraction form
    24,109.65/33,272.10 = 13,499.19/x
  3. Step 3: Cross multiply
    24,109.65x = 33,272.10 × 13,499.19
  4. Step 4: Simplify right side
    24,109.65x = 449,146,399.60
  5. Step 5: Solve for x
    x = 449,146,399.60/24,109.65
  6. Step 6: Final answer
    x = 18,629.32

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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.