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Finding the Fourth Proportional to 13,766.60, 18,997.70 and 7,478.92

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Solution

The fourth proportional to 13,766.60, 18,997.70 and 7,478.92 is: 10,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,766.60 : 18,997.70 = 7,478.92 : x
  2. Step 2: Convert to fraction form
    13,766.60/18,997.70 = 7,478.92/x
  3. Step 3: Cross multiply
    13,766.60x = 18,997.70 × 7,478.92
  4. Step 4: Simplify right side
    13,766.60x = 142,082,278.48
  5. Step 5: Solve for x
    x = 142,082,278.48/13,766.60
  6. Step 6: Final answer
    x = 10,320.80

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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.