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Finding the Fourth Proportional to 14,742.70, 20,345.29 and 8,028.70

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Solution

The fourth proportional to 14,742.70, 20,345.29 and 8,028.70 is: 11,079.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.70 : 20,345.29 = 8,028.70 : x
  2. Step 2: Convert to fraction form
    14,742.70/20,345.29 = 8,028.70/x
  3. Step 3: Cross multiply
    14,742.70x = 20,345.29 × 8,028.70
  4. Step 4: Simplify right side
    14,742.70x = 163,346,229.82
  5. Step 5: Solve for x
    x = 163,346,229.82/14,742.70
  6. Step 6: Final answer
    x = 11,079.80

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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.