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Finding the Fourth Proportional to 13,766.51, 18,997.67 and 7,478.93

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Solution

The fourth proportional to 13,766.51, 18,997.67 and 7,478.93 is: 10,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.51 : 18,997.67 = 7,478.93 : x
  2. Step 2: Convert to fraction form
    13,766.51/18,997.67 = 7,478.93/x
  3. Step 3: Cross multiply
    13,766.51x = 18,997.67 × 7,478.93
  4. Step 4: Simplify right side
    13,766.51x = 142,082,244.09
  5. Step 5: Solve for x
    x = 142,082,244.09/13,766.51
  6. Step 6: Final answer
    x = 10,320.86

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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.