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Finding the Fourth Proportional to 16,226.64, 22,393.06 and 9,517.11

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Solution

The fourth proportional to 16,226.64, 22,393.06 and 9,517.11 is: 13,133.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.64 : 22,393.06 = 9,517.11 : x
  2. Step 2: Convert to fraction form
    16,226.64/22,393.06 = 9,517.11/x
  3. Step 3: Cross multiply
    16,226.64x = 22,393.06 × 9,517.11
  4. Step 4: Simplify right side
    16,226.64x = 213,117,215.26
  5. Step 5: Solve for x
    x = 213,117,215.26/16,226.64
  6. Step 6: Final answer
    x = 13,133.79

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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.