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Finding the Fourth Proportional to 13,007.13, 17,958.63 and 8,538.48

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Solution

The fourth proportional to 13,007.13, 17,958.63 and 8,538.48 is: 11,788.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,007.13 : 17,958.63 = 8,538.48 : x
  2. Step 2: Convert to fraction form
    13,007.13/17,958.63 = 8,538.48/x
  3. Step 3: Cross multiply
    13,007.13x = 17,958.63 × 8,538.48
  4. Step 4: Simplify right side
    13,007.13x = 153,339,403.08
  5. Step 5: Solve for x
    x = 153,339,403.08/13,007.13
  6. Step 6: Final answer
    x = 11,788.87

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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.