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Finding the Fourth Proportional to 15,306.72, 22,969.86 and 9,764.02

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Solution

The fourth proportional to 15,306.72, 22,969.86 and 9,764.02 is: 14,652.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,306.72 : 22,969.86 = 9,764.02 : x
  2. Step 2: Convert to fraction form
    15,306.72/22,969.86 = 9,764.02/x
  3. Step 3: Cross multiply
    15,306.72x = 22,969.86 × 9,764.02
  4. Step 4: Simplify right side
    15,306.72x = 224,278,172.44
  5. Step 5: Solve for x
    x = 224,278,172.44/15,306.72
  6. Step 6: Final answer
    x = 14,652.27

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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.