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Finding the Fourth Proportional to 13,237.50, 19,856.73 and 4,003.50

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Solution

The fourth proportional to 13,237.50, 19,856.73 and 4,003.50 is: 6,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237.50 : 19,856.73 = 4,003.50 : x
  2. Step 2: Convert to fraction form
    13,237.50/19,856.73 = 4,003.50/x
  3. Step 3: Cross multiply
    13,237.50x = 19,856.73 × 4,003.50
  4. Step 4: Simplify right side
    13,237.50x = 79,496,418.56
  5. Step 5: Solve for x
    x = 79,496,418.56/13,237.50
  6. Step 6: Final answer
    x = 6,005.40

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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.