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Finding the Fourth Proportional to 39,673, 59,511.90 and 11,971.24

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Solution

The fourth proportional to 39,673, 59,511.90 and 11,971.24 is: 17,957.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,673 : 59,511.90 = 11,971.24 : x
  2. Step 2: Convert to fraction form
    39,673/59,511.90 = 11,971.24/x
  3. Step 3: Cross multiply
    39,673x = 59,511.90 × 11,971.24
  4. Step 4: Simplify right side
    39,673x = 712,431,237.76
  5. Step 5: Solve for x
    x = 712,431,237.76/39,673
  6. Step 6: Final answer
    x = 17,957.58

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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.