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Finding the Fourth Proportional to 13,131.50, 19,700.50 and 3,897.50

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Solution

The fourth proportional to 13,131.50, 19,700.50 and 3,897.50 is: 5,847.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131.50 : 19,700.50 = 3,897.50 : x
  2. Step 2: Convert to fraction form
    13,131.50/19,700.50 = 3,897.50/x
  3. Step 3: Cross multiply
    13,131.50x = 19,700.50 × 3,897.50
  4. Step 4: Simplify right side
    13,131.50x = 76,782,698.75
  5. Step 5: Solve for x
    x = 76,782,698.75/13,131.50
  6. Step 6: Final answer
    x = 5,847.21

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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.