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Finding the Fourth Proportional to 13,528.64, 18,668.82 and 7,559.14

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Solution

The fourth proportional to 13,528.64, 18,668.82 and 7,559.14 is: 10,431.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528.64 : 18,668.82 = 7,559.14 : x
  2. Step 2: Convert to fraction form
    13,528.64/18,668.82 = 7,559.14/x
  3. Step 3: Cross multiply
    13,528.64x = 18,668.82 × 7,559.14
  4. Step 4: Simplify right side
    13,528.64x = 141,120,205.69
  5. Step 5: Solve for x
    x = 141,120,205.69/13,528.64
  6. Step 6: Final answer
    x = 10,431.22

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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.