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Finding the Fourth Proportional to 23,108.51, 31,889.67 and 12,498.14

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Solution

The fourth proportional to 23,108.51, 31,889.67 and 12,498.14 is: 17,247.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,108.51 : 31,889.67 = 12,498.14 : x
  2. Step 2: Convert to fraction form
    23,108.51/31,889.67 = 12,498.14/x
  3. Step 3: Cross multiply
    23,108.51x = 31,889.67 × 12,498.14
  4. Step 4: Simplify right side
    23,108.51x = 398,561,560.21
  5. Step 5: Solve for x
    x = 398,561,560.21/23,108.51
  6. Step 6: Final answer
    x = 17,247.39

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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.