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Finding the Fourth Proportional to 17,533, 26,298.54 and 7,153.48

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Solution

The fourth proportional to 17,533, 26,298.54 and 7,153.48 is: 10,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,533 : 26,298.54 = 7,153.48 : x
  2. Step 2: Convert to fraction form
    17,533/26,298.54 = 7,153.48/x
  3. Step 3: Cross multiply
    17,533x = 26,298.54 × 7,153.48
  4. Step 4: Simplify right side
    17,533x = 188,126,079.92
  5. Step 5: Solve for x
    x = 188,126,079.92/17,533
  6. Step 6: Final answer
    x = 10,729.83

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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.