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Finding the Fourth Proportional to 13,458.74, 20,181.32 and 7,838.22

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Solution

The fourth proportional to 13,458.74, 20,181.32 and 7,838.22 is: 11,753.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,458.74 : 20,181.32 = 7,838.22 : x
  2. Step 2: Convert to fraction form
    13,458.74/20,181.32 = 7,838.22/x
  3. Step 3: Cross multiply
    13,458.74x = 20,181.32 × 7,838.22
  4. Step 4: Simplify right side
    13,458.74x = 158,185,586.86
  5. Step 5: Solve for x
    x = 158,185,586.86/13,458.74
  6. Step 6: Final answer
    x = 11,753.38

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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.