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Finding the Fourth Proportional to 13,751.34, 18,974.43 and 8,970

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Solution

The fourth proportional to 13,751.34, 18,974.43 and 8,970 is: 12,377.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.34 : 18,974.43 = 8,970 : x
  2. Step 2: Convert to fraction form
    13,751.34/18,974.43 = 8,970/x
  3. Step 3: Cross multiply
    13,751.34x = 18,974.43 × 8,970
  4. Step 4: Simplify right side
    13,751.34x = 170,200,637.10
  5. Step 5: Solve for x
    x = 170,200,637.10/13,751.34
  6. Step 6: Final answer
    x = 12,377.02

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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.