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Finding the Fourth Proportional to 15,683.24, 23,530.96 and 6,911.96

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Solution

The fourth proportional to 15,683.24, 23,530.96 and 6,911.96 is: 10,370.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,683.24 : 23,530.96 = 6,911.96 : x
  2. Step 2: Convert to fraction form
    15,683.24/23,530.96 = 6,911.96/x
  3. Step 3: Cross multiply
    15,683.24x = 23,530.96 × 6,911.96
  4. Step 4: Simplify right side
    15,683.24x = 162,645,054.28
  5. Step 5: Solve for x
    x = 162,645,054.28/15,683.24
  6. Step 6: Final answer
    x = 10,370.63

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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.