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Finding the Fourth Proportional to 22,783.20, 34,179.74 and 6,988.28

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Solution

The fourth proportional to 22,783.20, 34,179.74 and 6,988.28 is: 10,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.20 : 34,179.74 = 6,988.28 : x
  2. Step 2: Convert to fraction form
    22,783.20/34,179.74 = 6,988.28/x
  3. Step 3: Cross multiply
    22,783.20x = 34,179.74 × 6,988.28
  4. Step 4: Simplify right side
    22,783.20x = 238,857,593.45
  5. Step 5: Solve for x
    x = 238,857,593.45/22,783.20
  6. Step 6: Final answer
    x = 10,483.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.