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Finding the Fourth Proportional to 16,005.65, 23,961.02 and 11,864.21

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Solution

The fourth proportional to 16,005.65, 23,961.02 and 11,864.21 is: 17,761.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.65 : 23,961.02 = 11,864.21 : x
  2. Step 2: Convert to fraction form
    16,005.65/23,961.02 = 11,864.21/x
  3. Step 3: Cross multiply
    16,005.65x = 23,961.02 × 11,864.21
  4. Step 4: Simplify right side
    16,005.65x = 284,278,393.97
  5. Step 5: Solve for x
    x = 284,278,393.97/16,005.65
  6. Step 6: Final answer
    x = 17,761.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.