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Finding the Fourth Proportional to 17,296.74, 25,948.90 and 5,611.14

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Solution

The fourth proportional to 17,296.74, 25,948.90 and 5,611.14 is: 8,417.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.74 : 25,948.90 = 5,611.14 : x
  2. Step 2: Convert to fraction form
    17,296.74/25,948.90 = 5,611.14/x
  3. Step 3: Cross multiply
    17,296.74x = 25,948.90 × 5,611.14
  4. Step 4: Simplify right side
    17,296.74x = 145,602,910.75
  5. Step 5: Solve for x
    x = 145,602,910.75/17,296.74
  6. Step 6: Final answer
    x = 8,417.94

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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.