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Finding the Fourth Proportional to 14,327.64, 21,494.57 and 5,894.19

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Solution

The fourth proportional to 14,327.64, 21,494.57 and 5,894.19 is: 8,842.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,327.64 : 21,494.57 = 5,894.19 : x
  2. Step 2: Convert to fraction form
    14,327.64/21,494.57 = 5,894.19/x
  3. Step 3: Cross multiply
    14,327.64x = 21,494.57 × 5,894.19
  4. Step 4: Simplify right side
    14,327.64x = 126,693,079.55
  5. Step 5: Solve for x
    x = 126,693,079.55/14,327.64
  6. Step 6: Final answer
    x = 8,842.56

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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.