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Finding the Fourth Proportional to 12,486.75, 17,231.76 and 6,897.75

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Solution

The fourth proportional to 12,486.75, 17,231.76 and 6,897.75 is: 9,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.75 : 17,231.76 = 6,897.75 : x
  2. Step 2: Convert to fraction form
    12,486.75/17,231.76 = 6,897.75/x
  3. Step 3: Cross multiply
    12,486.75x = 17,231.76 × 6,897.75
  4. Step 4: Simplify right side
    12,486.75x = 118,860,372.54
  5. Step 5: Solve for x
    x = 118,860,372.54/12,486.75
  6. Step 6: Final answer
    x = 9,518.92

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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.