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Finding the Fourth Proportional to 19,673.31, 29,518.70 and 10,311.11

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Solution

The fourth proportional to 19,673.31, 29,518.70 and 10,311.11 is: 15,471.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.31 : 29,518.70 = 10,311.11 : x
  2. Step 2: Convert to fraction form
    19,673.31/29,518.70 = 10,311.11/x
  3. Step 3: Cross multiply
    19,673.31x = 29,518.70 × 10,311.11
  4. Step 4: Simplify right side
    19,673.31x = 304,370,474.30
  5. Step 5: Solve for x
    x = 304,370,474.30/19,673.31
  6. Step 6: Final answer
    x = 15,471.24

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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.