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Finding the Fourth Proportional to 22,854.90, 34,283.46 and 8,064

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Solution

The fourth proportional to 22,854.90, 34,283.46 and 8,064 is: 12,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,854.90 : 34,283.46 = 8,064 : x
  2. Step 2: Convert to fraction form
    22,854.90/34,283.46 = 8,064/x
  3. Step 3: Cross multiply
    22,854.90x = 34,283.46 × 8,064
  4. Step 4: Simplify right side
    22,854.90x = 276,461,821.44
  5. Step 5: Solve for x
    x = 276,461,821.44/22,854.90
  6. Step 6: Final answer
    x = 12,096.39

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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.