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Finding the Fourth Proportional to 14,709.25, 20,298.78 and 7,994.86

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Solution

The fourth proportional to 14,709.25, 20,298.78 and 7,994.86 is: 11,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.25 : 20,298.78 = 7,994.86 : x
  2. Step 2: Convert to fraction form
    14,709.25/20,298.78 = 7,994.86/x
  3. Step 3: Cross multiply
    14,709.25x = 20,298.78 × 7,994.86
  4. Step 4: Simplify right side
    14,709.25x = 162,285,908.88
  5. Step 5: Solve for x
    x = 162,285,908.88/14,709.25
  6. Step 6: Final answer
    x = 11,032.92

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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.