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Finding the Fourth Proportional to 12,887.50, 19,334.49 and 3,653.50

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Solution

The fourth proportional to 12,887.50, 19,334.49 and 3,653.50 is: 5,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,887.50 : 19,334.49 = 3,653.50 : x
  2. Step 2: Convert to fraction form
    12,887.50/19,334.49 = 3,653.50/x
  3. Step 3: Cross multiply
    12,887.50x = 19,334.49 × 3,653.50
  4. Step 4: Simplify right side
    12,887.50x = 70,638,559.22
  5. Step 5: Solve for x
    x = 70,638,559.22/12,887.50
  6. Step 6: Final answer
    x = 5,481.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.