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Finding the Fourth Proportional to 15,840.83, 23,767.86 and 6,951.57

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Solution

The fourth proportional to 15,840.83, 23,767.86 and 6,951.57 is: 10,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.83 : 23,767.86 = 6,951.57 : x
  2. Step 2: Convert to fraction form
    15,840.83/23,767.86 = 6,951.57/x
  3. Step 3: Cross multiply
    15,840.83x = 23,767.86 × 6,951.57
  4. Step 4: Simplify right side
    15,840.83x = 165,223,942.54
  5. Step 5: Solve for x
    x = 165,223,942.54/15,840.83
  6. Step 6: Final answer
    x = 10,430.26

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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.