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Finding the Fourth Proportional to 17,533.84, 24,195.81 and 9,574.54

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Solution

The fourth proportional to 17,533.84, 24,195.81 and 9,574.54 is: 13,212.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.84 : 24,195.81 = 9,574.54 : x
  2. Step 2: Convert to fraction form
    17,533.84/24,195.81 = 9,574.54/x
  3. Step 3: Cross multiply
    17,533.84x = 24,195.81 × 9,574.54
  4. Step 4: Simplify right side
    17,533.84x = 231,663,750.68
  5. Step 5: Solve for x
    x = 231,663,750.68/17,533.84
  6. Step 6: Final answer
    x = 13,212.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.