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Finding the Fourth Proportional to 19,692.96, 29,524.08 and 9,827.28

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Solution

The fourth proportional to 19,692.96, 29,524.08 and 9,827.28 is: 14,733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,692.96 : 29,524.08 = 9,827.28 : x
  2. Step 2: Convert to fraction form
    19,692.96/29,524.08 = 9,827.28/x
  3. Step 3: Cross multiply
    19,692.96x = 29,524.08 × 9,827.28
  4. Step 4: Simplify right side
    19,692.96x = 290,141,400.90
  5. Step 5: Solve for x
    x = 290,141,400.90/19,692.96
  6. Step 6: Final answer
    x = 14,733.25

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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.