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Finding the Fourth Proportional to 22,114, 33,172.62 and 7,322.59

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Solution

The fourth proportional to 22,114, 33,172.62 and 7,322.59 is: 10,984.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,114 : 33,172.62 = 7,322.59 : x
  2. Step 2: Convert to fraction form
    22,114/33,172.62 = 7,322.59/x
  3. Step 3: Cross multiply
    22,114x = 33,172.62 × 7,322.59
  4. Step 4: Simplify right side
    22,114x = 242,909,495.49
  5. Step 5: Solve for x
    x = 242,909,495.49/22,114
  6. Step 6: Final answer
    x = 10,984.42

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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.