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Finding the Fourth Proportional to 14,817.55, 20,448.77 and 8,102.78

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Solution

The fourth proportional to 14,817.55, 20,448.77 and 8,102.78 is: 11,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,817.55 : 20,448.77 = 8,102.78 : x
  2. Step 2: Convert to fraction form
    14,817.55/20,448.77 = 8,102.78/x
  3. Step 3: Cross multiply
    14,817.55x = 20,448.77 × 8,102.78
  4. Step 4: Simplify right side
    14,817.55x = 165,691,884.58
  5. Step 5: Solve for x
    x = 165,691,884.58/14,817.55
  6. Step 6: Final answer
    x = 11,182.14

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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.