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Finding the Fourth Proportional to 16,369.12, 22,589.40 and 8,917.12

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Solution

The fourth proportional to 16,369.12, 22,589.40 and 8,917.12 is: 12,305.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,369.12 : 22,589.40 = 8,917.12 : x
  2. Step 2: Convert to fraction form
    16,369.12/22,589.40 = 8,917.12/x
  3. Step 3: Cross multiply
    16,369.12x = 22,589.40 × 8,917.12
  4. Step 4: Simplify right side
    16,369.12x = 201,432,390.53
  5. Step 5: Solve for x
    x = 201,432,390.53/16,369.12
  6. Step 6: Final answer
    x = 12,305.63

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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.