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Finding the Fourth Proportional to 16,706.64, 23,055.17 and 9,992.27

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Solution

The fourth proportional to 16,706.64, 23,055.17 and 9,992.27 is: 13,789.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,706.64 : 23,055.17 = 9,992.27 : x
  2. Step 2: Convert to fraction form
    16,706.64/23,055.17 = 9,992.27/x
  3. Step 3: Cross multiply
    16,706.64x = 23,055.17 × 9,992.27
  4. Step 4: Simplify right side
    16,706.64x = 230,373,483.54
  5. Step 5: Solve for x
    x = 230,373,483.54/16,706.64
  6. Step 6: Final answer
    x = 13,789.34

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Double scale
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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.