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Finding the Fourth Proportional to 14,508.83, 20,023.87 and 8,137.17

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Solution

The fourth proportional to 14,508.83, 20,023.87 and 8,137.17 is: 11,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,508.83 : 20,023.87 = 8,137.17 : x
  2. Step 2: Convert to fraction form
    14,508.83/20,023.87 = 8,137.17/x
  3. Step 3: Cross multiply
    14,508.83x = 20,023.87 × 8,137.17
  4. Step 4: Simplify right side
    14,508.83x = 162,937,634.25
  5. Step 5: Solve for x
    x = 162,937,634.25/14,508.83
  6. Step 6: Final answer
    x = 11,230.24

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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.