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Finding the Fourth Proportional to 14,518.50, 20,034.45 and 8,230.74

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Solution

The fourth proportional to 14,518.50, 20,034.45 and 8,230.74 is: 11,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,518.50 : 20,034.45 = 8,230.74 : x
  2. Step 2: Convert to fraction form
    14,518.50/20,034.45 = 8,230.74/x
  3. Step 3: Cross multiply
    14,518.50x = 20,034.45 × 8,230.74
  4. Step 4: Simplify right side
    14,518.50x = 164,898,348.99
  5. Step 5: Solve for x
    x = 164,898,348.99/14,518.50
  6. Step 6: Final answer
    x = 11,357.81

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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.