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Finding the Fourth Proportional to 22,783.28, 34,179.98 and 6,990.50

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Solution

The fourth proportional to 22,783.28, 34,179.98 and 6,990.50 is: 10,487.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.28 : 34,179.98 = 6,990.50 : x
  2. Step 2: Convert to fraction form
    22,783.28/34,179.98 = 6,990.50/x
  3. Step 3: Cross multiply
    22,783.28x = 34,179.98 × 6,990.50
  4. Step 4: Simplify right side
    22,783.28x = 238,935,200.69
  5. Step 5: Solve for x
    x = 238,935,200.69/22,783.28
  6. Step 6: Final answer
    x = 10,487.31

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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.