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Finding the Fourth Proportional to 14,903.82, 20,565.03 and 8,189.73

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Solution

The fourth proportional to 14,903.82, 20,565.03 and 8,189.73 is: 11,300.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,903.82 : 20,565.03 = 8,189.73 : x
  2. Step 2: Convert to fraction form
    14,903.82/20,565.03 = 8,189.73/x
  3. Step 3: Cross multiply
    14,903.82x = 20,565.03 × 8,189.73
  4. Step 4: Simplify right side
    14,903.82x = 168,422,043.14
  5. Step 5: Solve for x
    x = 168,422,043.14/14,903.82
  6. Step 6: Final answer
    x = 11,300.60

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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.