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Finding the Fourth Proportional to 14,321.42, 19,763.52 and 8,033.80

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Solution

The fourth proportional to 14,321.42, 19,763.52 and 8,033.80 is: 11,086.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.42 : 19,763.52 = 8,033.80 : x
  2. Step 2: Convert to fraction form
    14,321.42/19,763.52 = 8,033.80/x
  3. Step 3: Cross multiply
    14,321.42x = 19,763.52 × 8,033.80
  4. Step 4: Simplify right side
    14,321.42x = 158,776,166.98
  5. Step 5: Solve for x
    x = 158,776,166.98/14,321.42
  6. Step 6: Final answer
    x = 11,086.62

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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.