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Finding the Fourth Proportional to 15,506.72, 23,271.96 and 7,722.08

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Solution

The fourth proportional to 15,506.72, 23,271.96 and 7,722.08 is: 11,589.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.72 : 23,271.96 = 7,722.08 : x
  2. Step 2: Convert to fraction form
    15,506.72/23,271.96 = 7,722.08/x
  3. Step 3: Cross multiply
    15,506.72x = 23,271.96 × 7,722.08
  4. Step 4: Simplify right side
    15,506.72x = 179,707,936.88
  5. Step 5: Solve for x
    x = 179,707,936.88/15,506.72
  6. Step 6: Final answer
    x = 11,589.04

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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.