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Finding the Fourth Proportional to 23,205.29, 32,023.10 and 12,594.92

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Solution

The fourth proportional to 23,205.29, 32,023.10 and 12,594.92 is: 17,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.29 : 32,023.10 = 12,594.92 : x
  2. Step 2: Convert to fraction form
    23,205.29/32,023.10 = 12,594.92/x
  3. Step 3: Cross multiply
    23,205.29x = 32,023.10 × 12,594.92
  4. Step 4: Simplify right side
    23,205.29x = 403,328,494.20
  5. Step 5: Solve for x
    x = 403,328,494.20/23,205.29
  6. Step 6: Final answer
    x = 17,380.89

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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.