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Finding the Fourth Proportional to 22,355.96, 33,499.91 and 9,192.65

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Solution

The fourth proportional to 22,355.96, 33,499.91 and 9,192.65 is: 13,774.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,355.96 : 33,499.91 = 9,192.65 : x
  2. Step 2: Convert to fraction form
    22,355.96/33,499.91 = 9,192.65/x
  3. Step 3: Cross multiply
    22,355.96x = 33,499.91 × 9,192.65
  4. Step 4: Simplify right side
    22,355.96x = 307,952,803.14
  5. Step 5: Solve for x
    x = 307,952,803.14/22,355.96
  6. Step 6: Final answer
    x = 13,774.98

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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.