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Finding the Fourth Proportional to 16,456, 24,692.46 and 9,066.28

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Solution

The fourth proportional to 16,456, 24,692.46 and 9,066.28 is: 13,604.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 24,692.46 = 9,066.28 : x
  2. Step 2: Convert to fraction form
    16,456/24,692.46 = 9,066.28/x
  3. Step 3: Cross multiply
    16,456x = 24,692.46 × 9,066.28
  4. Step 4: Simplify right side
    16,456x = 223,868,756.25
  5. Step 5: Solve for x
    x = 223,868,756.25/16,456
  6. Step 6: Final answer
    x = 13,604.08

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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.