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Finding the Fourth Proportional to 15,977.70, 23,957.90 and 7,202.34

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Solution

The fourth proportional to 15,977.70, 23,957.90 and 7,202.34 is: 10,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,977.70 : 23,957.90 = 7,202.34 : x
  2. Step 2: Convert to fraction form
    15,977.70/23,957.90 = 7,202.34/x
  3. Step 3: Cross multiply
    15,977.70x = 23,957.90 × 7,202.34
  4. Step 4: Simplify right side
    15,977.70x = 172,552,941.49
  5. Step 5: Solve for x
    x = 172,552,941.49/15,977.70
  6. Step 6: Final answer
    x = 10,799.61

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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.