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Finding the Fourth Proportional to 16,447.86, 22,692.48 and 9,369.24

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Solution

The fourth proportional to 16,447.86, 22,692.48 and 9,369.24 is: 12,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,447.86 : 22,692.48 = 9,369.24 : x
  2. Step 2: Convert to fraction form
    16,447.86/22,692.48 = 9,369.24/x
  3. Step 3: Cross multiply
    16,447.86x = 22,692.48 × 9,369.24
  4. Step 4: Simplify right side
    16,447.86x = 212,611,291.32
  5. Step 5: Solve for x
    x = 212,611,291.32/16,447.86
  6. Step 6: Final answer
    x = 12,926.38

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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.