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Finding the Fourth Proportional to 17,533.28, 26,310 and 7,145.12

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Solution

The fourth proportional to 17,533.28, 26,310 and 7,145.12 is: 10,721.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533.28 : 26,310 = 7,145.12 : x
  2. Step 2: Convert to fraction form
    17,533.28/26,310 = 7,145.12/x
  3. Step 3: Cross multiply
    17,533.28x = 26,310 × 7,145.12
  4. Step 4: Simplify right side
    17,533.28x = 187,988,107.20
  5. Step 5: Solve for x
    x = 187,988,107.20/17,533.28
  6. Step 6: Final answer
    x = 10,721.79

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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.