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Finding the Fourth Proportional to 22,842.54, 34,281.12 and 9,704.13

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Solution

The fourth proportional to 22,842.54, 34,281.12 and 9,704.13 is: 14,563.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.54 : 34,281.12 = 9,704.13 : x
  2. Step 2: Convert to fraction form
    22,842.54/34,281.12 = 9,704.13/x
  3. Step 3: Cross multiply
    22,842.54x = 34,281.12 × 9,704.13
  4. Step 4: Simplify right side
    22,842.54x = 332,668,445.03
  5. Step 5: Solve for x
    x = 332,668,445.03/22,842.54
  6. Step 6: Final answer
    x = 14,563.55

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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.