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Finding the Fourth Proportional to 12,911.16, 17,701.37 and 12,677.88

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Solution

The fourth proportional to 12,911.16, 17,701.37 and 12,677.88 is: 17,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.16 : 17,701.37 = 12,677.88 : x
  2. Step 2: Convert to fraction form
    12,911.16/17,701.37 = 12,677.88/x
  3. Step 3: Cross multiply
    12,911.16x = 17,701.37 × 12,677.88
  4. Step 4: Simplify right side
    12,911.16x = 224,415,781.31
  5. Step 5: Solve for x
    x = 224,415,781.31/12,911.16
  6. Step 6: Final answer
    x = 17,381.54

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.