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Finding the Fourth Proportional to 11,599.90, 17,425.78 and 11,162.50

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Solution

The fourth proportional to 11,599.90, 17,425.78 and 11,162.50 is: 16,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.90 : 17,425.78 = 11,162.50 : x
  2. Step 2: Convert to fraction form
    11,599.90/17,425.78 = 11,162.50/x
  3. Step 3: Cross multiply
    11,599.90x = 17,425.78 × 11,162.50
  4. Step 4: Simplify right side
    11,599.90x = 194,515,269.25
  5. Step 5: Solve for x
    x = 194,515,269.25/11,599.90
  6. Step 6: Final answer
    x = 16,768.70

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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.