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Finding the Fourth Proportional to 15,722.65, 23,587.44 and 5,195.89

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Solution

The fourth proportional to 15,722.65, 23,587.44 and 5,195.89 is: 7,794.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.65 : 23,587.44 = 5,195.89 : x
  2. Step 2: Convert to fraction form
    15,722.65/23,587.44 = 5,195.89/x
  3. Step 3: Cross multiply
    15,722.65x = 23,587.44 × 5,195.89
  4. Step 4: Simplify right side
    15,722.65x = 122,557,743.62
  5. Step 5: Solve for x
    x = 122,557,743.62/15,722.65
  6. Step 6: Final answer
    x = 7,794.98

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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.