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Finding the Fourth Proportional to 16,241.76, 22,415.82 and 9,529.02

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Solution

The fourth proportional to 16,241.76, 22,415.82 and 9,529.02 is: 13,151.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,241.76 : 22,415.82 = 9,529.02 : x
  2. Step 2: Convert to fraction form
    16,241.76/22,415.82 = 9,529.02/x
  3. Step 3: Cross multiply
    16,241.76x = 22,415.82 × 9,529.02
  4. Step 4: Simplify right side
    16,241.76x = 213,600,797.10
  5. Step 5: Solve for x
    x = 213,600,797.10/16,241.76
  6. Step 6: Final answer
    x = 13,151.33

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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.