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Finding the Fourth Proportional to 12,475.94, 17,219.68 and 8,227.76

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Solution

The fourth proportional to 12,475.94, 17,219.68 and 8,227.76 is: 11,356.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,475.94 : 17,219.68 = 8,227.76 : x
  2. Step 2: Convert to fraction form
    12,475.94/17,219.68 = 8,227.76/x
  3. Step 3: Cross multiply
    12,475.94x = 17,219.68 × 8,227.76
  4. Step 4: Simplify right side
    12,475.94x = 141,679,416.80
  5. Step 5: Solve for x
    x = 141,679,416.80/12,475.94
  6. Step 6: Final answer
    x = 11,356.22

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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.