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Finding the Fourth Proportional to 14,742.16, 20,343.99 and 8,027.71

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Solution

The fourth proportional to 14,742.16, 20,343.99 and 8,027.71 is: 11,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.16 : 20,343.99 = 8,027.71 : x
  2. Step 2: Convert to fraction form
    14,742.16/20,343.99 = 8,027.71/x
  3. Step 3: Cross multiply
    14,742.16x = 20,343.99 × 8,027.71
  4. Step 4: Simplify right side
    14,742.16x = 163,315,651.96
  5. Step 5: Solve for x
    x = 163,315,651.96/14,742.16
  6. Step 6: Final answer
    x = 11,078.14

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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.