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Finding the Fourth Proportional to 22,483.86, 33,724.53 and 6,901.44

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Solution

The fourth proportional to 22,483.86, 33,724.53 and 6,901.44 is: 10,351.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,483.86 : 33,724.53 = 6,901.44 : x
  2. Step 2: Convert to fraction form
    22,483.86/33,724.53 = 6,901.44/x
  3. Step 3: Cross multiply
    22,483.86x = 33,724.53 × 6,901.44
  4. Step 4: Simplify right side
    22,483.86x = 232,747,820.32
  5. Step 5: Solve for x
    x = 232,747,820.32/22,483.86
  6. Step 6: Final answer
    x = 10,351.77

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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.