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Finding the Fourth Proportional to 22,362.48, 33,530.76 and 9,199.98

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Solution

The fourth proportional to 22,362.48, 33,530.76 and 9,199.98 is: 13,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,362.48 : 33,530.76 = 9,199.98 : x
  2. Step 2: Convert to fraction form
    22,362.48/33,530.76 = 9,199.98/x
  3. Step 3: Cross multiply
    22,362.48x = 33,530.76 × 9,199.98
  4. Step 4: Simplify right side
    22,362.48x = 308,482,321.38
  5. Step 5: Solve for x
    x = 308,482,321.38/22,362.48
  6. Step 6: Final answer
    x = 13,794.64

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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.