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Finding the Fourth Proportional to 22,665.13, 33,963.07 and 9,510.33

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Solution

The fourth proportional to 22,665.13, 33,963.07 and 9,510.33 is: 14,250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,665.13 : 33,963.07 = 9,510.33 : x
  2. Step 2: Convert to fraction form
    22,665.13/33,963.07 = 9,510.33/x
  3. Step 3: Cross multiply
    22,665.13x = 33,963.07 × 9,510.33
  4. Step 4: Simplify right side
    22,665.13x = 323,000,003.51
  5. Step 5: Solve for x
    x = 323,000,003.51/22,665.13
  6. Step 6: Final answer
    x = 14,250.97

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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.