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Finding the Fourth Proportional to 39,878.15, 59,817.20 and 11,796

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Solution

The fourth proportional to 39,878.15, 59,817.20 and 11,796 is: 17,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,878.15 : 59,817.20 = 11,796 : x
  2. Step 2: Convert to fraction form
    39,878.15/59,817.20 = 11,796/x
  3. Step 3: Cross multiply
    39,878.15x = 59,817.20 × 11,796
  4. Step 4: Simplify right side
    39,878.15x = 705,603,632.22
  5. Step 5: Solve for x
    x = 705,603,632.22/39,878.15
  6. Step 6: Final answer
    x = 17,693.99

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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.