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Finding the Fourth Proportional to 22,894.64, 34,346.88 and 7,099.34

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Solution

The fourth proportional to 22,894.64, 34,346.88 and 7,099.34 is: 10,650.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.64 : 34,346.88 = 7,099.34 : x
  2. Step 2: Convert to fraction form
    22,894.64/34,346.88 = 7,099.34/x
  3. Step 3: Cross multiply
    22,894.64x = 34,346.88 × 7,099.34
  4. Step 4: Simplify right side
    22,894.64x = 243,839,997.14
  5. Step 5: Solve for x
    x = 243,839,997.14/22,894.64
  6. Step 6: Final answer
    x = 10,650.53

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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.