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Finding the Fourth Proportional to 21,692.80, 32,539.20 and 8,537.98

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Solution

The fourth proportional to 21,692.80, 32,539.20 and 8,537.98 is: 12,806.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,692.80 : 32,539.20 = 8,537.98 : x
  2. Step 2: Convert to fraction form
    21,692.80/32,539.20 = 8,537.98/x
  3. Step 3: Cross multiply
    21,692.80x = 32,539.20 × 8,537.98
  4. Step 4: Simplify right side
    21,692.80x = 277,819,038.82
  5. Step 5: Solve for x
    x = 277,819,038.82/21,692.80
  6. Step 6: Final answer
    x = 12,806.97

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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.