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Finding the Fourth Proportional to 23,202, 34,808.94 and 7,619.76

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Solution

The fourth proportional to 23,202, 34,808.94 and 7,619.76 is: 11,431.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,202 : 34,808.94 = 7,619.76 : x
  2. Step 2: Convert to fraction form
    23,202/34,808.94 = 7,619.76/x
  3. Step 3: Cross multiply
    23,202x = 34,808.94 × 7,619.76
  4. Step 4: Simplify right side
    23,202x = 265,235,768.65
  5. Step 5: Solve for x
    x = 265,235,768.65/23,202
  6. Step 6: Final answer
    x = 11,431.59

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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.