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Finding the Fourth Proportional to 13,876.59, 19,149.98 and 7,589.37

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Solution

The fourth proportional to 13,876.59, 19,149.98 and 7,589.37 is: 10,473.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.59 : 19,149.98 = 7,589.37 : x
  2. Step 2: Convert to fraction form
    13,876.59/19,149.98 = 7,589.37/x
  3. Step 3: Cross multiply
    13,876.59x = 19,149.98 × 7,589.37
  4. Step 4: Simplify right side
    13,876.59x = 145,336,245.77
  5. Step 5: Solve for x
    x = 145,336,245.77/13,876.59
  6. Step 6: Final answer
    x = 10,473.48

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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.