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Finding the Fourth Proportional to 19,305, 28,957.44 and 12,683.34

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Solution

The fourth proportional to 19,305, 28,957.44 and 12,683.34 is: 19,024.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,305 : 28,957.44 = 12,683.34 : x
  2. Step 2: Convert to fraction form
    19,305/28,957.44 = 12,683.34/x
  3. Step 3: Cross multiply
    19,305x = 28,957.44 × 12,683.34
  4. Step 4: Simplify right side
    19,305x = 367,277,057.05
  5. Step 5: Solve for x
    x = 367,277,057.05/19,305
  6. Step 6: Final answer
    x = 19,024.97

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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.