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Finding the Fourth Proportional to 13,530.49, 20,295.77 and 5,214.43

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Solution

The fourth proportional to 13,530.49, 20,295.77 and 5,214.43 is: 7,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.49 : 20,295.77 = 5,214.43 : x
  2. Step 2: Convert to fraction form
    13,530.49/20,295.77 = 5,214.43/x
  3. Step 3: Cross multiply
    13,530.49x = 20,295.77 × 5,214.43
  4. Step 4: Simplify right side
    13,530.49x = 105,830,757.09
  5. Step 5: Solve for x
    x = 105,830,757.09/13,530.49
  6. Step 6: Final answer
    x = 7,821.65

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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.