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Finding the Fourth Proportional to 17,073.76, 25,593 and 6,541.32

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Solution

The fourth proportional to 17,073.76, 25,593 and 6,541.32 is: 9,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,073.76 : 25,593 = 6,541.32 : x
  2. Step 2: Convert to fraction form
    17,073.76/25,593 = 6,541.32/x
  3. Step 3: Cross multiply
    17,073.76x = 25,593 × 6,541.32
  4. Step 4: Simplify right side
    17,073.76x = 167,412,002.76
  5. Step 5: Solve for x
    x = 167,412,002.76/17,073.76
  6. Step 6: Final answer
    x = 9,805.22

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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.