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Finding the Fourth Proportional to 22,900.64, 34,355.85 and 7,105.32

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Solution

The fourth proportional to 22,900.64, 34,355.85 and 7,105.32 is: 10,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900.64 : 34,355.85 = 7,105.32 : x
  2. Step 2: Convert to fraction form
    22,900.64/34,355.85 = 7,105.32/x
  3. Step 3: Cross multiply
    22,900.64x = 34,355.85 × 7,105.32
  4. Step 4: Simplify right side
    22,900.64x = 244,109,281.48
  5. Step 5: Solve for x
    x = 244,109,281.48/22,900.64
  6. Step 6: Final answer
    x = 10,659.50

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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.