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Finding the Fourth Proportional to 22,881.09, 34,322.85 and 7,297.50

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Solution

The fourth proportional to 22,881.09, 34,322.85 and 7,297.50 is: 10,946.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,881.09 : 34,322.85 = 7,297.50 : x
  2. Step 2: Convert to fraction form
    22,881.09/34,322.85 = 7,297.50/x
  3. Step 3: Cross multiply
    22,881.09x = 34,322.85 × 7,297.50
  4. Step 4: Simplify right side
    22,881.09x = 250,470,997.88
  5. Step 5: Solve for x
    x = 250,470,997.88/22,881.09
  6. Step 6: Final answer
    x = 10,946.64

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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.