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Finding the Fourth Proportional to 22,237.12, 33,355.74 and 6,443.47

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Solution

The fourth proportional to 22,237.12, 33,355.74 and 6,443.47 is: 9,665.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,237.12 : 33,355.74 = 6,443.47 : x
  2. Step 2: Convert to fraction form
    22,237.12/33,355.74 = 6,443.47/x
  3. Step 3: Cross multiply
    22,237.12x = 33,355.74 × 6,443.47
  4. Step 4: Simplify right side
    22,237.12x = 214,926,710.02
  5. Step 5: Solve for x
    x = 214,926,710.02/22,237.12
  6. Step 6: Final answer
    x = 9,665.22

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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.