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Finding the Fourth Proportional to 23,122, 34,662.18 and 8,320.51

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Solution

The fourth proportional to 23,122, 34,662.18 and 8,320.51 is: 12,473.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,122 : 34,662.18 = 8,320.51 : x
  2. Step 2: Convert to fraction form
    23,122/34,662.18 = 8,320.51/x
  3. Step 3: Cross multiply
    23,122x = 34,662.18 × 8,320.51
  4. Step 4: Simplify right side
    23,122x = 288,407,015.31
  5. Step 5: Solve for x
    x = 288,407,015.31/23,122
  6. Step 6: Final answer
    x = 12,473.27

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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.