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Finding the Fourth Proportional to 20,304.83, 30,461.34 and 8,459.50

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Solution

The fourth proportional to 20,304.83, 30,461.34 and 8,459.50 is: 12,690.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,304.83 : 30,461.34 = 8,459.50 : x
  2. Step 2: Convert to fraction form
    20,304.83/30,461.34 = 8,459.50/x
  3. Step 3: Cross multiply
    20,304.83x = 30,461.34 × 8,459.50
  4. Step 4: Simplify right side
    20,304.83x = 257,687,705.73
  5. Step 5: Solve for x
    x = 257,687,705.73/20,304.83
  6. Step 6: Final answer
    x = 12,690.96

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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.