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Finding the Fourth Proportional to 19,692.50, 29,522.19 and 8,014.10

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Solution

The fourth proportional to 19,692.50, 29,522.19 and 8,014.10 is: 12,014.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.50 : 29,522.19 = 8,014.10 : x
  2. Step 2: Convert to fraction form
    19,692.50/29,522.19 = 8,014.10/x
  3. Step 3: Cross multiply
    19,692.50x = 29,522.19 × 8,014.10
  4. Step 4: Simplify right side
    19,692.50x = 236,593,782.88
  5. Step 5: Solve for x
    x = 236,593,782.88/19,692.50
  6. Step 6: Final answer
    x = 12,014.41

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1.5x scale

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.