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Finding the Fourth Proportional to 20,543.54, 30,801.40 and 8,055.77

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Solution

The fourth proportional to 20,543.54, 30,801.40 and 8,055.77 is: 12,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,543.54 : 30,801.40 = 8,055.77 : x
  2. Step 2: Convert to fraction form
    20,543.54/30,801.40 = 8,055.77/x
  3. Step 3: Cross multiply
    20,543.54x = 30,801.40 × 8,055.77
  4. Step 4: Simplify right side
    20,543.54x = 248,128,819.93
  5. Step 5: Solve for x
    x = 248,128,819.93/20,543.54
  6. Step 6: Final answer
    x = 12,078.19

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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.