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Finding the Fourth Proportional to 13,614.23, 18,787.05 and 7,949.30

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Solution

The fourth proportional to 13,614.23, 18,787.05 and 7,949.30 is: 10,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.23 : 18,787.05 = 7,949.30 : x
  2. Step 2: Convert to fraction form
    13,614.23/18,787.05 = 7,949.30/x
  3. Step 3: Cross multiply
    13,614.23x = 18,787.05 × 7,949.30
  4. Step 4: Simplify right side
    13,614.23x = 149,343,802.63
  5. Step 5: Solve for x
    x = 149,343,802.63/13,614.23
  6. Step 6: Final answer
    x = 10,969.69

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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.