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Finding the Fourth Proportional to 24,507.25, 33,820.73 and 13,329.97

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Solution

The fourth proportional to 24,507.25, 33,820.73 and 13,329.97 is: 18,395.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,507.25 : 33,820.73 = 13,329.97 : x
  2. Step 2: Convert to fraction form
    24,507.25/33,820.73 = 13,329.97/x
  3. Step 3: Cross multiply
    24,507.25x = 33,820.73 × 13,329.97
  4. Step 4: Simplify right side
    24,507.25x = 450,829,316.28
  5. Step 5: Solve for x
    x = 450,829,316.28/24,507.25
  6. Step 6: Final answer
    x = 18,395.75

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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.