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Finding the Fourth Proportional to 13,876.50, 19,149.75 and 7,589.01

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Solution

The fourth proportional to 13,876.50, 19,149.75 and 7,589.01 is: 10,472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.50 : 19,149.75 = 7,589.01 : x
  2. Step 2: Convert to fraction form
    13,876.50/19,149.75 = 7,589.01/x
  3. Step 3: Cross multiply
    13,876.50x = 19,149.75 × 7,589.01
  4. Step 4: Simplify right side
    13,876.50x = 145,327,644.25
  5. Step 5: Solve for x
    x = 145,327,644.25/13,876.50
  6. Step 6: Final answer
    x = 10,472.93

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