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Finding the Fourth Proportional to 24,383.08, 33,648.50 and 13,205

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Solution

The fourth proportional to 24,383.08, 33,648.50 and 13,205 is: 18,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,383.08 : 33,648.50 = 13,205 : x
  2. Step 2: Convert to fraction form
    24,383.08/33,648.50 = 13,205/x
  3. Step 3: Cross multiply
    24,383.08x = 33,648.50 × 13,205
  4. Step 4: Simplify right side
    24,383.08x = 444,328,442.50
  5. Step 5: Solve for x
    x = 444,328,442.50/24,383.08
  6. Step 6: Final answer
    x = 18,222.82

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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.