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Finding the Fourth Proportional to 12,586.86, 17,369.19 and 6,997.50

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Solution

The fourth proportional to 12,586.86, 17,369.19 and 6,997.50 is: 9,656.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,586.86 : 17,369.19 = 6,997.50 : x
  2. Step 2: Convert to fraction form
    12,586.86/17,369.19 = 6,997.50/x
  3. Step 3: Cross multiply
    12,586.86x = 17,369.19 × 6,997.50
  4. Step 4: Simplify right side
    12,586.86x = 121,540,907.03
  5. Step 5: Solve for x
    x = 121,540,907.03/12,586.86
  6. Step 6: Final answer
    x = 9,656.17

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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.