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Finding the Fourth Proportional to 21,692.50, 32,543.34 and 12,337

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Solution

The fourth proportional to 21,692.50, 32,543.34 and 12,337 is: 18,508.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.50 : 32,543.34 = 12,337 : x
  2. Step 2: Convert to fraction form
    21,692.50/32,543.34 = 12,337/x
  3. Step 3: Cross multiply
    21,692.50x = 32,543.34 × 12,337
  4. Step 4: Simplify right side
    21,692.50x = 401,487,185.58
  5. Step 5: Solve for x
    x = 401,487,185.58/21,692.50
  6. Step 6: Final answer
    x = 18,508.11

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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.