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Finding the Fourth Proportional to 23,690.60, 32,692.82 and 13,080

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Solution

The fourth proportional to 23,690.60, 32,692.82 and 13,080 is: 18,050.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,690.60 : 32,692.82 = 13,080 : x
  2. Step 2: Convert to fraction form
    23,690.60/32,692.82 = 13,080/x
  3. Step 3: Cross multiply
    23,690.60x = 32,692.82 × 13,080
  4. Step 4: Simplify right side
    23,690.60x = 427,622,020.20
  5. Step 5: Solve for x
    x = 427,622,020.20/23,690.60
  6. Step 6: Final answer
    x = 18,050.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.