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Finding the Fourth Proportional to 13,528.62, 18,668.07 and 8,221.50

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Solution

The fourth proportional to 13,528.62, 18,668.07 and 8,221.50 is: 11,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.62 : 18,668.07 = 8,221.50 : x
  2. Step 2: Convert to fraction form
    13,528.62/18,668.07 = 8,221.50/x
  3. Step 3: Cross multiply
    13,528.62x = 18,668.07 × 8,221.50
  4. Step 4: Simplify right side
    13,528.62x = 153,479,537.51
  5. Step 5: Solve for x
    x = 153,479,537.51/13,528.62
  6. Step 6: Final answer
    x = 11,344.80

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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.