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Finding the Fourth Proportional to 20,800.98, 31,204.56 and 7,652.40

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Solution

The fourth proportional to 20,800.98, 31,204.56 and 7,652.40 is: 11,479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.98 : 31,204.56 = 7,652.40 : x
  2. Step 2: Convert to fraction form
    20,800.98/31,204.56 = 7,652.40/x
  3. Step 3: Cross multiply
    20,800.98x = 31,204.56 × 7,652.40
  4. Step 4: Simplify right side
    20,800.98x = 238,789,774.94
  5. Step 5: Solve for x
    x = 238,789,774.94/20,800.98
  6. Step 6: Final answer
    x = 11,479.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.