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Finding the Fourth Proportional to 17,692.16, 24,415.29 and 9,734.18

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Solution

The fourth proportional to 17,692.16, 24,415.29 and 9,734.18 is: 13,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,692.16 : 24,415.29 = 9,734.18 : x
  2. Step 2: Convert to fraction form
    17,692.16/24,415.29 = 9,734.18/x
  3. Step 3: Cross multiply
    17,692.16x = 24,415.29 × 9,734.18
  4. Step 4: Simplify right side
    17,692.16x = 237,662,705.54
  5. Step 5: Solve for x
    x = 237,662,705.54/17,692.16
  6. Step 6: Final answer
    x = 13,433.23

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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.