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Finding the Fourth Proportional to 13,267.26, 19,909.13 and 7,723.08

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Solution

The fourth proportional to 13,267.26, 19,909.13 and 7,723.08 is: 11,589.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,267.26 : 19,909.13 = 7,723.08 : x
  2. Step 2: Convert to fraction form
    13,267.26/19,909.13 = 7,723.08/x
  3. Step 3: Cross multiply
    13,267.26x = 19,909.13 × 7,723.08
  4. Step 4: Simplify right side
    13,267.26x = 153,759,765.11
  5. Step 5: Solve for x
    x = 153,759,765.11/13,267.26
  6. Step 6: Final answer
    x = 11,589.41

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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.