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Finding the Fourth Proportional to 22,294.50, 33,442.46 and 8,258.06

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Solution

The fourth proportional to 22,294.50, 33,442.46 and 8,258.06 is: 12,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,294.50 : 33,442.46 = 8,258.06 : x
  2. Step 2: Convert to fraction form
    22,294.50/33,442.46 = 8,258.06/x
  3. Step 3: Cross multiply
    22,294.50x = 33,442.46 × 8,258.06
  4. Step 4: Simplify right side
    22,294.50x = 276,169,841.23
  5. Step 5: Solve for x
    x = 276,169,841.23/22,294.50
  6. Step 6: Final answer
    x = 12,387.35

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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.