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Finding the Fourth Proportional to 13,766.06, 18,997.18 and 7,478.48

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Solution

The fourth proportional to 13,766.06, 18,997.18 and 7,478.48 is: 10,320.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.06 : 18,997.18 = 7,478.48 : x
  2. Step 2: Convert to fraction form
    13,766.06/18,997.18 = 7,478.48/x
  3. Step 3: Cross multiply
    13,766.06x = 18,997.18 × 7,478.48
  4. Step 4: Simplify right side
    13,766.06x = 142,070,030.69
  5. Step 5: Solve for x
    x = 142,070,030.69/13,766.06
  6. Step 6: Final answer
    x = 10,320.31

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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.