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Finding the Fourth Proportional to 23,080.91, 31,808.16 and 16,696.66

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Solution

The fourth proportional to 23,080.91, 31,808.16 and 16,696.66 is: 23,009.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.91 : 31,808.16 = 16,696.66 : x
  2. Step 2: Convert to fraction form
    23,080.91/31,808.16 = 16,696.66/x
  3. Step 3: Cross multiply
    23,080.91x = 31,808.16 × 16,696.66
  4. Step 4: Simplify right side
    23,080.91x = 531,090,093.38
  5. Step 5: Solve for x
    x = 531,090,093.38/23,080.91
  6. Step 6: Final answer
    x = 23,009.93

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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.