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Finding the Fourth Proportional to 17,491.18, 24,137.86 and 9,533.42

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Solution

The fourth proportional to 17,491.18, 24,137.86 and 9,533.42 is: 13,156.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.18 : 24,137.86 = 9,533.42 : x
  2. Step 2: Convert to fraction form
    17,491.18/24,137.86 = 9,533.42/x
  3. Step 3: Cross multiply
    17,491.18x = 24,137.86 × 9,533.42
  4. Step 4: Simplify right side
    17,491.18x = 230,116,357.28
  5. Step 5: Solve for x
    x = 230,116,357.28/17,491.18
  6. Step 6: Final answer
    x = 13,156.14

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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.