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Finding the Fourth Proportional to 13,444.25, 20,163.74 and 7,818.53

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Solution

The fourth proportional to 13,444.25, 20,163.74 and 7,818.53 is: 11,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,444.25 : 20,163.74 = 7,818.53 : x
  2. Step 2: Convert to fraction form
    13,444.25/20,163.74 = 7,818.53/x
  3. Step 3: Cross multiply
    13,444.25x = 20,163.74 × 7,818.53
  4. Step 4: Simplify right side
    13,444.25x = 157,650,666.19
  5. Step 5: Solve for x
    x = 157,650,666.19/13,444.25
  6. Step 6: Final answer
    x = 11,726.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.