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Finding the Fourth Proportional to 22,456.10, 33,678.40 and 6,657.43

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Solution

The fourth proportional to 22,456.10, 33,678.40 and 6,657.43 is: 9,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,456.10 : 33,678.40 = 6,657.43 : x
  2. Step 2: Convert to fraction form
    22,456.10/33,678.40 = 6,657.43/x
  3. Step 3: Cross multiply
    22,456.10x = 33,678.40 × 6,657.43
  4. Step 4: Simplify right side
    22,456.10x = 224,211,745.11
  5. Step 5: Solve for x
    x = 224,211,745.11/22,456.10
  6. Step 6: Final answer
    x = 9,984.45

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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.