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Finding the Fourth Proportional to 23,205.70, 32,023.89 and 12,595.33

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Solution

The fourth proportional to 23,205.70, 32,023.89 and 12,595.33 is: 17,381.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.70 : 32,023.89 = 12,595.33 : x
  2. Step 2: Convert to fraction form
    23,205.70/32,023.89 = 12,595.33/x
  3. Step 3: Cross multiply
    23,205.70x = 32,023.89 × 12,595.33
  4. Step 4: Simplify right side
    23,205.70x = 403,351,462.43
  5. Step 5: Solve for x
    x = 403,351,462.43/23,205.70
  6. Step 6: Final answer
    x = 17,381.57

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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.