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Finding the Fourth Proportional to 16,384.81, 22,610.98 and 8,932.81

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Solution

The fourth proportional to 16,384.81, 22,610.98 and 8,932.81 is: 12,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.81 : 22,610.98 = 8,932.81 : x
  2. Step 2: Convert to fraction form
    16,384.81/22,610.98 = 8,932.81/x
  3. Step 3: Cross multiply
    16,384.81x = 22,610.98 × 8,932.81
  4. Step 4: Simplify right side
    16,384.81x = 201,979,588.25
  5. Step 5: Solve for x
    x = 201,979,588.25/16,384.81
  6. Step 6: Final answer
    x = 12,327.25

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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.