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Finding the Fourth Proportional to 22,297.14, 33,448.82 and 7,510.30

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Solution

The fourth proportional to 22,297.14, 33,448.82 and 7,510.30 is: 11,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,297.14 : 33,448.82 = 7,510.30 : x
  2. Step 2: Convert to fraction form
    22,297.14/33,448.82 = 7,510.30/x
  3. Step 3: Cross multiply
    22,297.14x = 33,448.82 × 7,510.30
  4. Step 4: Simplify right side
    22,297.14x = 251,210,551.67
  5. Step 5: Solve for x
    x = 251,210,551.67/22,297.14
  6. Step 6: Final answer
    x = 11,266.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.