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Finding the Fourth Proportional to 20,558.90, 30,842.24 and 6,522.46

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Solution

The fourth proportional to 20,558.90, 30,842.24 and 6,522.46 is: 9,784.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,558.90 : 30,842.24 = 6,522.46 : x
  2. Step 2: Convert to fraction form
    20,558.90/30,842.24 = 6,522.46/x
  3. Step 3: Cross multiply
    20,558.90x = 30,842.24 × 6,522.46
  4. Step 4: Simplify right side
    20,558.90x = 201,167,276.71
  5. Step 5: Solve for x
    x = 201,167,276.71/20,558.90
  6. Step 6: Final answer
    x = 9,784.92

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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.