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Finding the Fourth Proportional to 14,548.50, 20,077.74 and 8,583.66

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Solution

The fourth proportional to 14,548.50, 20,077.74 and 8,583.66 is: 11,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,548.50 : 20,077.74 = 8,583.66 : x
  2. Step 2: Convert to fraction form
    14,548.50/20,077.74 = 8,583.66/x
  3. Step 3: Cross multiply
    14,548.50x = 20,077.74 × 8,583.66
  4. Step 4: Simplify right side
    14,548.50x = 172,340,493.73
  5. Step 5: Solve for x
    x = 172,340,493.73/14,548.50
  6. Step 6: Final answer
    x = 11,845.93

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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.