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Finding the Fourth Proportional to 17,692.97, 24,416.93 and 9,734.99

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Solution

The fourth proportional to 17,692.97, 24,416.93 and 9,734.99 is: 13,434.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.97 : 24,416.93 = 9,734.99 : x
  2. Step 2: Convert to fraction form
    17,692.97/24,416.93 = 9,734.99/x
  3. Step 3: Cross multiply
    17,692.97x = 24,416.93 × 9,734.99
  4. Step 4: Simplify right side
    17,692.97x = 237,698,520.71
  5. Step 5: Solve for x
    x = 237,698,520.71/17,692.97
  6. Step 6: Final answer
    x = 13,434.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.