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Finding the Fourth Proportional to 12,094.86, 18,154.65 and 6,255.66

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Solution

The fourth proportional to 12,094.86, 18,154.65 and 6,255.66 is: 9,389.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,094.86 : 18,154.65 = 6,255.66 : x
  2. Step 2: Convert to fraction form
    12,094.86/18,154.65 = 6,255.66/x
  3. Step 3: Cross multiply
    12,094.86x = 18,154.65 × 6,255.66
  4. Step 4: Simplify right side
    12,094.86x = 113,569,317.82
  5. Step 5: Solve for x
    x = 113,569,317.82/12,094.86
  6. Step 6: Final answer
    x = 9,389.88

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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.