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Finding the Fourth Proportional to 16,399.16, 22,631.92 and 9,326.24

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Solution

The fourth proportional to 16,399.16, 22,631.92 and 9,326.24 is: 12,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,399.16 : 22,631.92 = 9,326.24 : x
  2. Step 2: Convert to fraction form
    16,399.16/22,631.92 = 9,326.24/x
  3. Step 3: Cross multiply
    16,399.16x = 22,631.92 × 9,326.24
  4. Step 4: Simplify right side
    16,399.16x = 211,070,717.58
  5. Step 5: Solve for x
    x = 211,070,717.58/16,399.16
  6. Step 6: Final answer
    x = 12,870.82

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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.