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Finding the Fourth Proportional to 12,094.50, 16,684.74 and 8,559.66

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Solution

The fourth proportional to 12,094.50, 16,684.74 and 8,559.66 is: 11,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.50 : 16,684.74 = 8,559.66 : x
  2. Step 2: Convert to fraction form
    12,094.50/16,684.74 = 8,559.66/x
  3. Step 3: Cross multiply
    12,094.50x = 16,684.74 × 8,559.66
  4. Step 4: Simplify right side
    12,094.50x = 142,815,701.59
  5. Step 5: Solve for x
    x = 142,815,701.59/12,094.50
  6. Step 6: Final answer
    x = 11,808.32

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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.