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Finding the Fourth Proportional to 17,468.80, 26,214 and 7,080.64

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Solution

The fourth proportional to 17,468.80, 26,214 and 7,080.64 is: 10,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,468.80 : 26,214 = 7,080.64 : x
  2. Step 2: Convert to fraction form
    17,468.80/26,214 = 7,080.64/x
  3. Step 3: Cross multiply
    17,468.80x = 26,214 × 7,080.64
  4. Step 4: Simplify right side
    17,468.80x = 185,611,896.96
  5. Step 5: Solve for x
    x = 185,611,896.96/17,468.80
  6. Step 6: Final answer
    x = 10,625.34

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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.