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Finding the Fourth Proportional to 19,294.31, 28,934.10 and 6,812.01

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Solution

The fourth proportional to 19,294.31, 28,934.10 and 6,812.01 is: 10,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.31 : 28,934.10 = 6,812.01 : x
  2. Step 2: Convert to fraction form
    19,294.31/28,934.10 = 6,812.01/x
  3. Step 3: Cross multiply
    19,294.31x = 28,934.10 × 6,812.01
  4. Step 4: Simplify right side
    19,294.31x = 197,099,378.54
  5. Step 5: Solve for x
    x = 197,099,378.54/19,294.31
  6. Step 6: Final answer
    x = 10,215.42

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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.