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Finding the Fourth Proportional to 16,523.06, 22,801.84 and 8,969.38

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Solution

The fourth proportional to 16,523.06, 22,801.84 and 8,969.38 is: 12,377.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,523.06 : 22,801.84 = 8,969.38 : x
  2. Step 2: Convert to fraction form
    16,523.06/22,801.84 = 8,969.38/x
  3. Step 3: Cross multiply
    16,523.06x = 22,801.84 × 8,969.38
  4. Step 4: Simplify right side
    16,523.06x = 204,518,322.81
  5. Step 5: Solve for x
    x = 204,518,322.81/16,523.06
  6. Step 6: Final answer
    x = 12,377.75

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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.