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Finding the Fourth Proportional to 17,097.64, 25,578.98 and 12,949.60

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Solution

The fourth proportional to 17,097.64, 25,578.98 and 12,949.60 is: 19,373.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,097.64 : 25,578.98 = 12,949.60 : x
  2. Step 2: Convert to fraction form
    17,097.64/25,578.98 = 12,949.60/x
  3. Step 3: Cross multiply
    17,097.64x = 25,578.98 × 12,949.60
  4. Step 4: Simplify right side
    17,097.64x = 331,237,559.41
  5. Step 5: Solve for x
    x = 331,237,559.41/17,097.64
  6. Step 6: Final answer
    x = 19,373.29

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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.