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Finding the Fourth Proportional to 13,766.13, 18,997.16 and 7,478.55

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Solution

The fourth proportional to 13,766.13, 18,997.16 and 7,478.55 is: 10,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.13 : 18,997.16 = 7,478.55 : x
  2. Step 2: Convert to fraction form
    13,766.13/18,997.16 = 7,478.55/x
  3. Step 3: Cross multiply
    13,766.13x = 18,997.16 × 7,478.55
  4. Step 4: Simplify right side
    13,766.13x = 142,071,173.53
  5. Step 5: Solve for x
    x = 142,071,173.53/13,766.13
  6. Step 6: Final answer
    x = 10,320.34

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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.