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Finding the Fourth Proportional to 14,230.81, 21,350.31 and 5,909.28

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Solution

The fourth proportional to 14,230.81, 21,350.31 and 5,909.28 is: 8,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.81 : 21,350.31 = 5,909.28 : x
  2. Step 2: Convert to fraction form
    14,230.81/21,350.31 = 5,909.28/x
  3. Step 3: Cross multiply
    14,230.81x = 21,350.31 × 5,909.28
  4. Step 4: Simplify right side
    14,230.81x = 126,164,959.88
  5. Step 5: Solve for x
    x = 126,164,959.88/14,230.81
  6. Step 6: Final answer
    x = 8,865.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.