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Finding the Fourth Proportional to 14,310.13, 19,749.80 and 8,022.50

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Solution

The fourth proportional to 14,310.13, 19,749.80 and 8,022.50 is: 11,072.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.13 : 19,749.80 = 8,022.50 : x
  2. Step 2: Convert to fraction form
    14,310.13/19,749.80 = 8,022.50/x
  3. Step 3: Cross multiply
    14,310.13x = 19,749.80 × 8,022.50
  4. Step 4: Simplify right side
    14,310.13x = 158,442,770.50
  5. Step 5: Solve for x
    x = 158,442,770.50/14,310.13
  6. Step 6: Final answer
    x = 11,072.07

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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.