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Finding the Fourth Proportional to 23,247, 34,870.50 and 7,665.84

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Solution

The fourth proportional to 23,247, 34,870.50 and 7,665.84 is: 11,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,247 : 34,870.50 = 7,665.84 : x
  2. Step 2: Convert to fraction form
    23,247/34,870.50 = 7,665.84/x
  3. Step 3: Cross multiply
    23,247x = 34,870.50 × 7,665.84
  4. Step 4: Simplify right side
    23,247x = 267,311,673.72
  5. Step 5: Solve for x
    x = 267,311,673.72/23,247
  6. Step 6: Final answer
    x = 11,498.76

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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.