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Finding the Fourth Proportional to 16,198.45, 22,355.93 and 9,826.11

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Solution

The fourth proportional to 16,198.45, 22,355.93 and 9,826.11 is: 13,561.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.45 : 22,355.93 = 9,826.11 : x
  2. Step 2: Convert to fraction form
    16,198.45/22,355.93 = 9,826.11/x
  3. Step 3: Cross multiply
    16,198.45x = 22,355.93 × 9,826.11
  4. Step 4: Simplify right side
    16,198.45x = 219,671,851.90
  5. Step 5: Solve for x
    x = 219,671,851.90/16,198.45
  6. Step 6: Final answer
    x = 13,561.29

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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.