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Finding the Fourth Proportional to 14,531.54, 21,800.48 and 5,766.26

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Solution

The fourth proportional to 14,531.54, 21,800.48 and 5,766.26 is: 8,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.54 : 21,800.48 = 5,766.26 : x
  2. Step 2: Convert to fraction form
    14,531.54/21,800.48 = 5,766.26/x
  3. Step 3: Cross multiply
    14,531.54x = 21,800.48 × 5,766.26
  4. Step 4: Simplify right side
    14,531.54x = 125,707,097.97
  5. Step 5: Solve for x
    x = 125,707,097.97/14,531.54
  6. Step 6: Final answer
    x = 8,650.64

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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.