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Finding the Fourth Proportional to 20,587.88, 30,881.82 and 8,273

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Solution

The fourth proportional to 20,587.88, 30,881.82 and 8,273 is: 12,409.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,587.88 : 30,881.82 = 8,273 : x
  2. Step 2: Convert to fraction form
    20,587.88/30,881.82 = 8,273/x
  3. Step 3: Cross multiply
    20,587.88x = 30,881.82 × 8,273
  4. Step 4: Simplify right side
    20,587.88x = 255,485,296.86
  5. Step 5: Solve for x
    x = 255,485,296.86/20,587.88
  6. Step 6: Final answer
    x = 12,409.50

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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.