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Finding the Fourth Proportional to 13,987.50, 20,978.03 and 3,992.06

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Solution

The fourth proportional to 13,987.50, 20,978.03 and 3,992.06 is: 5,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,987.50 : 20,978.03 = 3,992.06 : x
  2. Step 2: Convert to fraction form
    13,987.50/20,978.03 = 3,992.06/x
  3. Step 3: Cross multiply
    13,987.50x = 20,978.03 × 3,992.06
  4. Step 4: Simplify right side
    13,987.50x = 83,745,429.59
  5. Step 5: Solve for x
    x = 83,745,429.59/13,987.50
  6. Step 6: Final answer
    x = 5,987.16

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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.