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Finding the Fourth Proportional to 13,189.50, 19,784.25 and 3,955.50

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Solution

The fourth proportional to 13,189.50, 19,784.25 and 3,955.50 is: 5,933.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,189.50 : 19,784.25 = 3,955.50 : x
  2. Step 2: Convert to fraction form
    13,189.50/19,784.25 = 3,955.50/x
  3. Step 3: Cross multiply
    13,189.50x = 19,784.25 × 3,955.50
  4. Step 4: Simplify right side
    13,189.50x = 78,256,600.88
  5. Step 5: Solve for x
    x = 78,256,600.88/13,189.50
  6. Step 6: Final answer
    x = 5,933.25

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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.