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Finding the Fourth Proportional to 22,068, 33,078.48 and 10,371.60

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Solution

The fourth proportional to 22,068, 33,078.48 and 10,371.60 is: 15,546.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,068 : 33,078.48 = 10,371.60 : x
  2. Step 2: Convert to fraction form
    22,068/33,078.48 = 10,371.60/x
  3. Step 3: Cross multiply
    22,068x = 33,078.48 × 10,371.60
  4. Step 4: Simplify right side
    22,068x = 343,076,763.17
  5. Step 5: Solve for x
    x = 343,076,763.17/22,068
  6. Step 6: Final answer
    x = 15,546.35

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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.