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Finding the Fourth Proportional to 19,683.40, 29,516.22 and 5,640.22

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Solution

The fourth proportional to 19,683.40, 29,516.22 and 5,640.22 is: 8,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,683.40 : 29,516.22 = 5,640.22 : x
  2. Step 2: Convert to fraction form
    19,683.40/29,516.22 = 5,640.22/x
  3. Step 3: Cross multiply
    19,683.40x = 29,516.22 × 5,640.22
  4. Step 4: Simplify right side
    19,683.40x = 166,477,798.59
  5. Step 5: Solve for x
    x = 166,477,798.59/19,683.40
  6. Step 6: Final answer
    x = 8,457.78

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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.