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Finding the Fourth Proportional to 14,709.22, 20,298.69 and 7,994.83

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Solution

The fourth proportional to 14,709.22, 20,298.69 and 7,994.83 is: 11,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.22 : 20,298.69 = 7,994.83 : x
  2. Step 2: Convert to fraction form
    14,709.22/20,298.69 = 7,994.83/x
  3. Step 3: Cross multiply
    14,709.22x = 20,298.69 × 7,994.83
  4. Step 4: Simplify right side
    14,709.22x = 162,284,575.77
  5. Step 5: Solve for x
    x = 162,284,575.77/14,709.22
  6. Step 6: Final answer
    x = 11,032.85

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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.