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Finding the Fourth Proportional to 23,302.72, 32,157.71 and 12,692.43

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Solution

The fourth proportional to 23,302.72, 32,157.71 and 12,692.43 is: 17,515.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,302.72 : 32,157.71 = 12,692.43 : x
  2. Step 2: Convert to fraction form
    23,302.72/32,157.71 = 12,692.43/x
  3. Step 3: Cross multiply
    23,302.72x = 32,157.71 × 12,692.43
  4. Step 4: Simplify right side
    23,302.72x = 408,159,467.27
  5. Step 5: Solve for x
    x = 408,159,467.27/23,302.72
  6. Step 6: Final answer
    x = 17,515.53

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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.