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Finding the Fourth Proportional to 17,533.28, 26,284.28 and 6,437.42

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Solution

The fourth proportional to 17,533.28, 26,284.28 and 6,437.42 is: 9,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.28 : 26,284.28 = 6,437.42 : x
  2. Step 2: Convert to fraction form
    17,533.28/26,284.28 = 6,437.42/x
  3. Step 3: Cross multiply
    17,533.28x = 26,284.28 × 6,437.42
  4. Step 4: Simplify right side
    17,533.28x = 169,202,949.76
  5. Step 5: Solve for x
    x = 169,202,949.76/17,533.28
  6. Step 6: Final answer
    x = 9,650.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.