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Finding the Fourth Proportional to 17,542, 26,323.37 and 6,456.47

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Solution

The fourth proportional to 17,542, 26,323.37 and 6,456.47 is: 9,688.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,542 : 26,323.37 = 6,456.47 : x
  2. Step 2: Convert to fraction form
    17,542/26,323.37 = 6,456.47/x
  3. Step 3: Cross multiply
    17,542x = 26,323.37 × 6,456.47
  4. Step 4: Simplify right side
    17,542x = 169,956,048.70
  5. Step 5: Solve for x
    x = 169,956,048.70/17,542
  6. Step 6: Final answer
    x = 9,688.52

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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.