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Finding the Fourth Proportional to 16,767.68, 23,139.24 and 9,693.68

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Solution

The fourth proportional to 16,767.68, 23,139.24 and 9,693.68 is: 13,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767.68 : 23,139.24 = 9,693.68 : x
  2. Step 2: Convert to fraction form
    16,767.68/23,139.24 = 9,693.68/x
  3. Step 3: Cross multiply
    16,767.68x = 23,139.24 × 9,693.68
  4. Step 4: Simplify right side
    16,767.68x = 224,304,388.00
  5. Step 5: Solve for x
    x = 224,304,388.00/16,767.68
  6. Step 6: Final answer
    x = 13,377.19

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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.