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Finding the Fourth Proportional to 16,287.13, 22,476.24 and 9,213.40

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Solution

The fourth proportional to 16,287.13, 22,476.24 and 9,213.40 is: 12,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.13 : 22,476.24 = 9,213.40 : x
  2. Step 2: Convert to fraction form
    16,287.13/22,476.24 = 9,213.40/x
  3. Step 3: Cross multiply
    16,287.13x = 22,476.24 × 9,213.40
  4. Step 4: Simplify right side
    16,287.13x = 207,082,589.62
  5. Step 5: Solve for x
    x = 207,082,589.62/16,287.13
  6. Step 6: Final answer
    x = 12,714.49

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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.