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Finding the Fourth Proportional to 17,650, 24,356.58 and 9,692.20

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Solution

The fourth proportional to 17,650, 24,356.58 and 9,692.20 is: 13,375.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,650 : 24,356.58 = 9,692.20 : x
  2. Step 2: Convert to fraction form
    17,650/24,356.58 = 9,692.20/x
  3. Step 3: Cross multiply
    17,650x = 24,356.58 × 9,692.20
  4. Step 4: Simplify right side
    17,650x = 236,068,844.68
  5. Step 5: Solve for x
    x = 236,068,844.68/17,650
  6. Step 6: Final answer
    x = 13,375.01

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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.