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Finding the Fourth Proportional to 21,083.76, 31,586.76 and 10,683.36

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Solution

The fourth proportional to 21,083.76, 31,586.76 and 10,683.36 is: 16,005.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,083.76 : 31,586.76 = 10,683.36 : x
  2. Step 2: Convert to fraction form
    21,083.76/31,586.76 = 10,683.36/x
  3. Step 3: Cross multiply
    21,083.76x = 31,586.76 × 10,683.36
  4. Step 4: Simplify right side
    21,083.76x = 337,452,728.31
  5. Step 5: Solve for x
    x = 337,452,728.31/21,083.76
  6. Step 6: Final answer
    x = 16,005.34

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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.