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Finding the Fourth Proportional to 13,235.50, 19,853.26 and 5,939.50

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Solution

The fourth proportional to 13,235.50, 19,853.26 and 5,939.50 is: 8,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.50 : 19,853.26 = 5,939.50 : x
  2. Step 2: Convert to fraction form
    13,235.50/19,853.26 = 5,939.50/x
  3. Step 3: Cross multiply
    13,235.50x = 19,853.26 × 5,939.50
  4. Step 4: Simplify right side
    13,235.50x = 117,918,437.77
  5. Step 5: Solve for x
    x = 117,918,437.77/13,235.50
  6. Step 6: Final answer
    x = 8,909.25

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