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Finding the Fourth Proportional to 17,180.64, 25,746.65 and 7,309.98

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Solution

The fourth proportional to 17,180.64, 25,746.65 and 7,309.98 is: 10,954.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,180.64 : 25,746.65 = 7,309.98 : x
  2. Step 2: Convert to fraction form
    17,180.64/25,746.65 = 7,309.98/x
  3. Step 3: Cross multiply
    17,180.64x = 25,746.65 × 7,309.98
  4. Step 4: Simplify right side
    17,180.64x = 188,207,367.83
  5. Step 5: Solve for x
    x = 188,207,367.83/17,180.64
  6. Step 6: Final answer
    x = 10,954.62

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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.