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Finding the Fourth Proportional to 19,692.16, 29,538.24 and 8,002.64

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Solution

The fourth proportional to 19,692.16, 29,538.24 and 8,002.64 is: 12,003.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.16 : 29,538.24 = 8,002.64 : x
  2. Step 2: Convert to fraction form
    19,692.16/29,538.24 = 8,002.64/x
  3. Step 3: Cross multiply
    19,692.16x = 29,538.24 × 8,002.64
  4. Step 4: Simplify right side
    19,692.16x = 236,383,900.95
  5. Step 5: Solve for x
    x = 236,383,900.95/19,692.16
  6. Step 6: Final answer
    x = 12,003.96

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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.