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Finding the Fourth Proportional to 19,683.46, 29,520.15 and 5,829.22

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Solution

The fourth proportional to 19,683.46, 29,520.15 and 5,829.22 is: 8,742.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.46 : 29,520.15 = 5,829.22 : x
  2. Step 2: Convert to fraction form
    19,683.46/29,520.15 = 5,829.22/x
  3. Step 3: Cross multiply
    19,683.46x = 29,520.15 × 5,829.22
  4. Step 4: Simplify right side
    19,683.46x = 172,079,448.78
  5. Step 5: Solve for x
    x = 172,079,448.78/19,683.46
  6. Step 6: Final answer
    x = 8,742.34

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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.