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Finding the Fourth Proportional to 22,632.36, 33,961.76 and 9,483.64

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Solution

The fourth proportional to 22,632.36, 33,961.76 and 9,483.64 is: 14,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,632.36 : 33,961.76 = 9,483.64 : x
  2. Step 2: Convert to fraction form
    22,632.36/33,961.76 = 9,483.64/x
  3. Step 3: Cross multiply
    22,632.36x = 33,961.76 × 9,483.64
  4. Step 4: Simplify right side
    22,632.36x = 322,081,105.61
  5. Step 5: Solve for x
    x = 322,081,105.61/22,632.36
  6. Step 6: Final answer
    x = 14,231.00

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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.