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Finding the Fourth Proportional to 13,272.50, 19,908.75 and 4,038.50

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Solution

The fourth proportional to 13,272.50, 19,908.75 and 4,038.50 is: 6,057.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,272.50 : 19,908.75 = 4,038.50 : x
  2. Step 2: Convert to fraction form
    13,272.50/19,908.75 = 4,038.50/x
  3. Step 3: Cross multiply
    13,272.50x = 19,908.75 × 4,038.50
  4. Step 4: Simplify right side
    13,272.50x = 80,401,486.88
  5. Step 5: Solve for x
    x = 80,401,486.88/13,272.50
  6. Step 6: Final answer
    x = 6,057.75

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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.