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Finding the Fourth Proportional to 22,323, 33,484.50 and 5,907

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Solution

The fourth proportional to 22,323, 33,484.50 and 5,907 is: 8,860.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,323 : 33,484.50 = 5,907 : x
  2. Step 2: Convert to fraction form
    22,323/33,484.50 = 5,907/x
  3. Step 3: Cross multiply
    22,323x = 33,484.50 × 5,907
  4. Step 4: Simplify right side
    22,323x = 197,792,941.50
  5. Step 5: Solve for x
    x = 197,792,941.50/22,323
  6. Step 6: Final answer
    x = 8,860.50

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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.