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Finding the Fourth Proportional to 16,114.82, 22,238.43 and 9,041.90

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Solution

The fourth proportional to 16,114.82, 22,238.43 and 9,041.90 is: 12,477.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.82 : 22,238.43 = 9,041.90 : x
  2. Step 2: Convert to fraction form
    16,114.82/22,238.43 = 9,041.90/x
  3. Step 3: Cross multiply
    16,114.82x = 22,238.43 × 9,041.90
  4. Step 4: Simplify right side
    16,114.82x = 201,077,660.22
  5. Step 5: Solve for x
    x = 201,077,660.22/16,114.82
  6. Step 6: Final answer
    x = 12,477.81

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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.