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Finding the Fourth Proportional to 16,057.10, 22,163.94 and 9,341.45

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Solution

The fourth proportional to 16,057.10, 22,163.94 and 9,341.45 is: 12,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,057.10 : 22,163.94 = 9,341.45 : x
  2. Step 2: Convert to fraction form
    16,057.10/22,163.94 = 9,341.45/x
  3. Step 3: Cross multiply
    16,057.10x = 22,163.94 × 9,341.45
  4. Step 4: Simplify right side
    16,057.10x = 207,043,337.31
  5. Step 5: Solve for x
    x = 207,043,337.31/16,057.10
  6. Step 6: Final answer
    x = 12,894.19

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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.