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Finding the Fourth Proportional to 22,414.74, 33,602.06 and 9,258.72

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Solution

The fourth proportional to 22,414.74, 33,602.06 and 9,258.72 is: 13,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414.74 : 33,602.06 = 9,258.72 : x
  2. Step 2: Convert to fraction form
    22,414.74/33,602.06 = 9,258.72/x
  3. Step 3: Cross multiply
    22,414.74x = 33,602.06 × 9,258.72
  4. Step 4: Simplify right side
    22,414.74x = 311,112,064.96
  5. Step 5: Solve for x
    x = 311,112,064.96/22,414.74
  6. Step 6: Final answer
    x = 13,879.80

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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.