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Finding the Fourth Proportional to 14,939.78, 22,411.50 and 6,180.86

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Solution

The fourth proportional to 14,939.78, 22,411.50 and 6,180.86 is: 9,272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,939.78 : 22,411.50 = 6,180.86 : x
  2. Step 2: Convert to fraction form
    14,939.78/22,411.50 = 6,180.86/x
  3. Step 3: Cross multiply
    14,939.78x = 22,411.50 × 6,180.86
  4. Step 4: Simplify right side
    14,939.78x = 138,522,343.89
  5. Step 5: Solve for x
    x = 138,522,343.89/14,939.78
  6. Step 6: Final answer
    x = 9,272.05

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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.