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Finding the Fourth Proportional to 12,709.56, 17,538.54 and 7,044.24

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Solution

The fourth proportional to 12,709.56, 17,538.54 and 7,044.24 is: 9,720.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,709.56 : 17,538.54 = 7,044.24 : x
  2. Step 2: Convert to fraction form
    12,709.56/17,538.54 = 7,044.24/x
  3. Step 3: Cross multiply
    12,709.56x = 17,538.54 × 7,044.24
  4. Step 4: Simplify right side
    12,709.56x = 123,545,685.01
  5. Step 5: Solve for x
    x = 123,545,685.01/12,709.56
  6. Step 6: Final answer
    x = 9,720.69

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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.