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Finding the Fourth Proportional to 17,533.17, 24,182.96 and 11,153.97

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Solution

The fourth proportional to 17,533.17, 24,182.96 and 11,153.97 is: 15,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.17 : 24,182.96 = 11,153.97 : x
  2. Step 2: Convert to fraction form
    17,533.17/24,182.96 = 11,153.97/x
  3. Step 3: Cross multiply
    17,533.17x = 24,182.96 × 11,153.97
  4. Step 4: Simplify right side
    17,533.17x = 269,735,954.58
  5. Step 5: Solve for x
    x = 269,735,954.58/17,533.17
  6. Step 6: Final answer
    x = 15,384.32

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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.