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Finding the Fourth Proportional to 12,054.72, 18,094.86 and 10,677

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Solution

The fourth proportional to 12,054.72, 18,094.86 and 10,677 is: 16,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,054.72 : 18,094.86 = 10,677 : x
  2. Step 2: Convert to fraction form
    12,054.72/18,094.86 = 10,677/x
  3. Step 3: Cross multiply
    12,054.72x = 18,094.86 × 10,677
  4. Step 4: Simplify right side
    12,054.72x = 193,198,820.22
  5. Step 5: Solve for x
    x = 193,198,820.22/12,054.72
  6. Step 6: Final answer
    x = 16,026.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.