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Finding the Fourth Proportional to 16,218.16, 22,379.16 and 9,144.16

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Solution

The fourth proportional to 16,218.16, 22,379.16 and 9,144.16 is: 12,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,218.16 : 22,379.16 = 9,144.16 : x
  2. Step 2: Convert to fraction form
    16,218.16/22,379.16 = 9,144.16/x
  3. Step 3: Cross multiply
    16,218.16x = 22,379.16 × 9,144.16
  4. Step 4: Simplify right side
    16,218.16x = 204,638,619.71
  5. Step 5: Solve for x
    x = 204,638,619.71/16,218.16
  6. Step 6: Final answer
    x = 12,617.87

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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.