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Finding the Fourth Proportional to 14,518.40, 20,034.83 and 8,230.64

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Solution

The fourth proportional to 14,518.40, 20,034.83 and 8,230.64 is: 11,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.40 : 20,034.83 = 8,230.64 : x
  2. Step 2: Convert to fraction form
    14,518.40/20,034.83 = 8,230.64/x
  3. Step 3: Cross multiply
    14,518.40x = 20,034.83 × 8,230.64
  4. Step 4: Simplify right side
    14,518.40x = 164,899,432.04
  5. Step 5: Solve for x
    x = 164,899,432.04/14,518.40
  6. Step 6: Final answer
    x = 11,357.96

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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.