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Finding the Fourth Proportional to 21,692.68, 32,540.16 and 6,111.52

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Solution

The fourth proportional to 21,692.68, 32,540.16 and 6,111.52 is: 9,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.68 : 32,540.16 = 6,111.52 : x
  2. Step 2: Convert to fraction form
    21,692.68/32,540.16 = 6,111.52/x
  3. Step 3: Cross multiply
    21,692.68x = 32,540.16 × 6,111.52
  4. Step 4: Simplify right side
    21,692.68x = 198,869,838.64
  5. Step 5: Solve for x
    x = 198,869,838.64/21,692.68
  6. Step 6: Final answer
    x = 9,167.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.