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Finding the Fourth Proportional to 13,478.67, 18,599.22 and 8,173.17

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Solution

The fourth proportional to 13,478.67, 18,599.22 and 8,173.17 is: 11,278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,478.67 : 18,599.22 = 8,173.17 : x
  2. Step 2: Convert to fraction form
    13,478.67/18,599.22 = 8,173.17/x
  3. Step 3: Cross multiply
    13,478.67x = 18,599.22 × 8,173.17
  4. Step 4: Simplify right side
    13,478.67x = 152,014,586.93
  5. Step 5: Solve for x
    x = 152,014,586.93/13,478.67
  6. Step 6: Final answer
    x = 11,278.16

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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.