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Finding the Fourth Proportional to 20,526.84, 30,793.50 and 8,843.40

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Solution

The fourth proportional to 20,526.84, 30,793.50 and 8,843.40 is: 13,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,526.84 : 30,793.50 = 8,843.40 : x
  2. Step 2: Convert to fraction form
    20,526.84/30,793.50 = 8,843.40/x
  3. Step 3: Cross multiply
    20,526.84x = 30,793.50 × 8,843.40
  4. Step 4: Simplify right side
    20,526.84x = 272,319,237.90
  5. Step 5: Solve for x
    x = 272,319,237.90/20,526.84
  6. Step 6: Final answer
    x = 13,266.50

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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.