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Finding the Fourth Proportional to 17,157.52, 25,730.81 and 5,468

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Solution

The fourth proportional to 17,157.52, 25,730.81 and 5,468 is: 8,200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,157.52 : 25,730.81 = 5,468 : x
  2. Step 2: Convert to fraction form
    17,157.52/25,730.81 = 5,468/x
  3. Step 3: Cross multiply
    17,157.52x = 25,730.81 × 5,468
  4. Step 4: Simplify right side
    17,157.52x = 140,696,041.74
  5. Step 5: Solve for x
    x = 140,696,041.74/17,157.52
  6. Step 6: Final answer
    x = 8,200.26

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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.