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Finding the Fourth Proportional to 14,651.92, 20,215.55 and 9,201.58

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Solution

The fourth proportional to 14,651.92, 20,215.55 and 9,201.58 is: 12,695.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,651.92 : 20,215.55 = 9,201.58 : x
  2. Step 2: Convert to fraction form
    14,651.92/20,215.55 = 9,201.58/x
  3. Step 3: Cross multiply
    14,651.92x = 20,215.55 × 9,201.58
  4. Step 4: Simplify right side
    14,651.92x = 186,015,000.57
  5. Step 5: Solve for x
    x = 186,015,000.57/14,651.92
  6. Step 6: Final answer
    x = 12,695.61

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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.