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Finding the Fourth Proportional to 13,019.72, 17,970.13 and 8,474.34

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Solution

The fourth proportional to 13,019.72, 17,970.13 and 8,474.34 is: 11,696.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,019.72 : 17,970.13 = 8,474.34 : x
  2. Step 2: Convert to fraction form
    13,019.72/17,970.13 = 8,474.34/x
  3. Step 3: Cross multiply
    13,019.72x = 17,970.13 × 8,474.34
  4. Step 4: Simplify right side
    13,019.72x = 152,284,880.43
  5. Step 5: Solve for x
    x = 152,284,880.43/13,019.72
  6. Step 6: Final answer
    x = 11,696.48

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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.