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Finding the Fourth Proportional to 17,491.44, 24,138.57 and 9,534.06

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Solution

The fourth proportional to 17,491.44, 24,138.57 and 9,534.06 is: 13,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.44 : 24,138.57 = 9,534.06 : x
  2. Step 2: Convert to fraction form
    17,491.44/24,138.57 = 9,534.06/x
  3. Step 3: Cross multiply
    17,491.44x = 24,138.57 × 9,534.06
  4. Step 4: Simplify right side
    17,491.44x = 230,138,574.69
  5. Step 5: Solve for x
    x = 230,138,574.69/17,491.44
  6. Step 6: Final answer
    x = 13,157.21

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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.