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Finding the Fourth Proportional to 23,132, 34,699.23 and 7,338.23

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Solution

The fourth proportional to 23,132, 34,699.23 and 7,338.23 is: 11,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132 : 34,699.23 = 7,338.23 : x
  2. Step 2: Convert to fraction form
    23,132/34,699.23 = 7,338.23/x
  3. Step 3: Cross multiply
    23,132x = 34,699.23 × 7,338.23
  4. Step 4: Simplify right side
    23,132x = 254,630,930.56
  5. Step 5: Solve for x
    x = 254,630,930.56/23,132
  6. Step 6: Final answer
    x = 11,007.74

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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.