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Finding the Fourth Proportional to 13,827, 19,081.26 and 7,539.42

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Solution

The fourth proportional to 13,827, 19,081.26 and 7,539.42 is: 10,404.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 19,081.26 = 7,539.42 : x
  2. Step 2: Convert to fraction form
    13,827/19,081.26 = 7,539.42/x
  3. Step 3: Cross multiply
    13,827x = 19,081.26 × 7,539.42
  4. Step 4: Simplify right side
    13,827x = 143,861,633.27
  5. Step 5: Solve for x
    x = 143,861,633.27/13,827
  6. Step 6: Final answer
    x = 10,404.40

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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.