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Finding the Fourth Proportional to 17,491.70, 24,137.82 and 9,533.75

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Solution

The fourth proportional to 17,491.70, 24,137.82 and 9,533.75 is: 13,156.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,491.70 : 24,137.82 = 9,533.75 : x
  2. Step 2: Convert to fraction form
    17,491.70/24,137.82 = 9,533.75/x
  3. Step 3: Cross multiply
    17,491.70x = 24,137.82 × 9,533.75
  4. Step 4: Simplify right side
    17,491.70x = 230,123,820.74
  5. Step 5: Solve for x
    x = 230,123,820.74/17,491.70
  6. Step 6: Final answer
    x = 13,156.17

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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.