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Finding the Fourth Proportional to 12,657.11, 17,467.86 and 6,992.39

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Solution

The fourth proportional to 12,657.11, 17,467.86 and 6,992.39 is: 9,650.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.11 : 17,467.86 = 6,992.39 : x
  2. Step 2: Convert to fraction form
    12,657.11/17,467.86 = 6,992.39/x
  3. Step 3: Cross multiply
    12,657.11x = 17,467.86 × 6,992.39
  4. Step 4: Simplify right side
    12,657.11x = 122,142,089.59
  5. Step 5: Solve for x
    x = 122,142,089.59/12,657.11
  6. Step 6: Final answer
    x = 9,650.08

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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.