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Finding the Fourth Proportional to 17,491.11, 24,137.10 and 9,533.16

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Solution

The fourth proportional to 17,491.11, 24,137.10 and 9,533.16 is: 13,155.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.11 : 24,137.10 = 9,533.16 : x
  2. Step 2: Convert to fraction form
    17,491.11/24,137.10 = 9,533.16/x
  3. Step 3: Cross multiply
    17,491.11x = 24,137.10 × 9,533.16
  4. Step 4: Simplify right side
    17,491.11x = 230,102,836.24
  5. Step 5: Solve for x
    x = 230,102,836.24/17,491.11
  6. Step 6: Final answer
    x = 13,155.42

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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.