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Finding the Fourth Proportional to 22,291.56, 33,448.28 and 8,964.01

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Solution

The fourth proportional to 22,291.56, 33,448.28 and 8,964.01 is: 13,450.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,291.56 : 33,448.28 = 8,964.01 : x
  2. Step 2: Convert to fraction form
    22,291.56/33,448.28 = 8,964.01/x
  3. Step 3: Cross multiply
    22,291.56x = 33,448.28 × 8,964.01
  4. Step 4: Simplify right side
    22,291.56x = 299,830,671.58
  5. Step 5: Solve for x
    x = 299,830,671.58/22,291.56
  6. Step 6: Final answer
    x = 13,450.42

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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.