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Finding the Fourth Proportional to 12,657.88, 17,468.49 and 6,992.65

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Solution

The fourth proportional to 12,657.88, 17,468.49 and 6,992.65 is: 9,650.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.88 : 17,468.49 = 6,992.65 : x
  2. Step 2: Convert to fraction form
    12,657.88/17,468.49 = 6,992.65/x
  3. Step 3: Cross multiply
    12,657.88x = 17,468.49 × 6,992.65
  4. Step 4: Simplify right side
    12,657.88x = 122,151,036.60
  5. Step 5: Solve for x
    x = 122,151,036.60/12,657.88
  6. Step 6: Final answer
    x = 9,650.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.