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Finding the Fourth Proportional to 13,222.50, 19,837.05 and 3,988.50

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Solution

The fourth proportional to 13,222.50, 19,837.05 and 3,988.50 is: 5,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.50 : 19,837.05 = 3,988.50 : x
  2. Step 2: Convert to fraction form
    13,222.50/19,837.05 = 3,988.50/x
  3. Step 3: Cross multiply
    13,222.50x = 19,837.05 × 3,988.50
  4. Step 4: Simplify right side
    13,222.50x = 79,120,073.93
  5. Step 5: Solve for x
    x = 79,120,073.93/13,222.50
  6. Step 6: Final answer
    x = 5,983.75

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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.