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Finding the Fourth Proportional to 22,288.78, 33,432.36 and 6,706

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Solution

The fourth proportional to 22,288.78, 33,432.36 and 6,706 is: 10,058.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.78 : 33,432.36 = 6,706 : x
  2. Step 2: Convert to fraction form
    22,288.78/33,432.36 = 6,706/x
  3. Step 3: Cross multiply
    22,288.78x = 33,432.36 × 6,706
  4. Step 4: Simplify right side
    22,288.78x = 224,197,406.16
  5. Step 5: Solve for x
    x = 224,197,406.16/22,288.78
  6. Step 6: Final answer
    x = 10,058.76

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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.