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Finding the Fourth Proportional to 23,205, 32,022.72 and 12,594.66

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Solution

The fourth proportional to 23,205, 32,022.72 and 12,594.66 is: 17,380.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205 : 32,022.72 = 12,594.66 : x
  2. Step 2: Convert to fraction form
    23,205/32,022.72 = 12,594.66/x
  3. Step 3: Cross multiply
    23,205x = 32,022.72 × 12,594.66
  4. Step 4: Simplify right side
    23,205x = 403,315,270.68
  5. Step 5: Solve for x
    x = 403,315,270.68/23,205
  6. Step 6: Final answer
    x = 17,380.53

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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.