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Finding the Fourth Proportional to 25,177.50, 34,745.01 and 13,999.50

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Solution

The fourth proportional to 25,177.50, 34,745.01 and 13,999.50 is: 19,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,177.50 : 34,745.01 = 13,999.50 : x
  2. Step 2: Convert to fraction form
    25,177.50/34,745.01 = 13,999.50/x
  3. Step 3: Cross multiply
    25,177.50x = 34,745.01 × 13,999.50
  4. Step 4: Simplify right side
    25,177.50x = 486,412,767.50
  5. Step 5: Solve for x
    x = 486,412,767.50/25,177.50
  6. Step 6: Final answer
    x = 19,319.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.