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Finding the Fourth Proportional to 14,906.32, 20,579.74 and 9,874.86

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Solution

The fourth proportional to 14,906.32, 20,579.74 and 9,874.86 is: 13,633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,906.32 : 20,579.74 = 9,874.86 : x
  2. Step 2: Convert to fraction form
    14,906.32/20,579.74 = 9,874.86/x
  3. Step 3: Cross multiply
    14,906.32x = 20,579.74 × 9,874.86
  4. Step 4: Simplify right side
    14,906.32x = 203,222,051.34
  5. Step 5: Solve for x
    x = 203,222,051.34/14,906.32
  6. Step 6: Final answer
    x = 13,633.28

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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.