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Finding the Fourth Proportional to 12,327.86, 17,012.13 and 6,738.50

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Solution

The fourth proportional to 12,327.86, 17,012.13 and 6,738.50 is: 9,298.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,327.86 : 17,012.13 = 6,738.50 : x
  2. Step 2: Convert to fraction form
    12,327.86/17,012.13 = 6,738.50/x
  3. Step 3: Cross multiply
    12,327.86x = 17,012.13 × 6,738.50
  4. Step 4: Simplify right side
    12,327.86x = 114,636,238.01
  5. Step 5: Solve for x
    x = 114,636,238.01/12,327.86
  6. Step 6: Final answer
    x = 9,298.96

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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.