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Finding the Fourth Proportional to 23,080.92, 31,851.14 and 14,128.40

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Solution

The fourth proportional to 23,080.92, 31,851.14 and 14,128.40 is: 19,496.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,080.92 : 31,851.14 = 14,128.40 : x
  2. Step 2: Convert to fraction form
    23,080.92/31,851.14 = 14,128.40/x
  3. Step 3: Cross multiply
    23,080.92x = 31,851.14 × 14,128.40
  4. Step 4: Simplify right side
    23,080.92x = 450,005,646.38
  5. Step 5: Solve for x
    x = 450,005,646.38/23,080.92
  6. Step 6: Final answer
    x = 19,496.87

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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.