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Finding the Fourth Proportional to 13,011.24, 17,943.71 and 8,533.38

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Solution

The fourth proportional to 13,011.24, 17,943.71 and 8,533.38 is: 11,768.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,011.24 : 17,943.71 = 8,533.38 : x
  2. Step 2: Convert to fraction form
    13,011.24/17,943.71 = 8,533.38/x
  3. Step 3: Cross multiply
    13,011.24x = 17,943.71 × 8,533.38
  4. Step 4: Simplify right side
    13,011.24x = 153,120,453.37
  5. Step 5: Solve for x
    x = 153,120,453.37/13,011.24
  6. Step 6: Final answer
    x = 11,768.32

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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.