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Finding the Fourth Proportional to 23,205, 32,023.67 and 13,133.33

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Solution

The fourth proportional to 23,205, 32,023.67 and 13,133.33 is: 18,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205 : 32,023.67 = 13,133.33 : x
  2. Step 2: Convert to fraction form
    23,205/32,023.67 = 13,133.33/x
  3. Step 3: Cross multiply
    23,205x = 32,023.67 × 13,133.33
  4. Step 4: Simplify right side
    23,205x = 420,577,200.14
  5. Step 5: Solve for x
    x = 420,577,200.14/23,205
  6. Step 6: Final answer
    x = 18,124.42

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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.