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Finding the Fourth Proportional to 13,707.69, 18,916.46 and 7,739.61

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Solution

The fourth proportional to 13,707.69, 18,916.46 and 7,739.61 is: 10,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,707.69 : 18,916.46 = 7,739.61 : x
  2. Step 2: Convert to fraction form
    13,707.69/18,916.46 = 7,739.61/x
  3. Step 3: Cross multiply
    13,707.69x = 18,916.46 × 7,739.61
  4. Step 4: Simplify right side
    13,707.69x = 146,406,022.98
  5. Step 5: Solve for x
    x = 146,406,022.98/13,707.69
  6. Step 6: Final answer
    x = 10,680.58

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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.