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Finding the Fourth Proportional to 13,663.65, 18,856.34 and 7,614.43

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Solution

The fourth proportional to 13,663.65, 18,856.34 and 7,614.43 is: 10,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,663.65 : 18,856.34 = 7,614.43 : x
  2. Step 2: Convert to fraction form
    13,663.65/18,856.34 = 7,614.43/x
  3. Step 3: Cross multiply
    13,663.65x = 18,856.34 × 7,614.43
  4. Step 4: Simplify right side
    13,663.65x = 143,580,280.99
  5. Step 5: Solve for x
    x = 143,580,280.99/13,663.65
  6. Step 6: Final answer
    x = 10,508.19

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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.