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Finding the Fourth Proportional to 24,383.16, 33,648.84 and 13,205.16

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Solution

The fourth proportional to 24,383.16, 33,648.84 and 13,205.16 is: 18,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.16 : 33,648.84 = 13,205.16 : x
  2. Step 2: Convert to fraction form
    24,383.16/33,648.84 = 13,205.16/x
  3. Step 3: Cross multiply
    24,383.16x = 33,648.84 × 13,205.16
  4. Step 4: Simplify right side
    24,383.16x = 444,338,316.01
  5. Step 5: Solve for x
    x = 444,338,316.01/24,383.16
  6. Step 6: Final answer
    x = 18,223.16

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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.