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Finding the Fourth Proportional to 16,961.40, 23,403.06 and 9,886.86

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Solution

The fourth proportional to 16,961.40, 23,403.06 and 9,886.86 is: 13,641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,961.40 : 23,403.06 = 9,886.86 : x
  2. Step 2: Convert to fraction form
    16,961.40/23,403.06 = 9,886.86/x
  3. Step 3: Cross multiply
    16,961.40x = 23,403.06 × 9,886.86
  4. Step 4: Simplify right side
    16,961.40x = 231,382,777.79
  5. Step 5: Solve for x
    x = 231,382,777.79/16,961.40
  6. Step 6: Final answer
    x = 13,641.73

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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.