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Finding the Fourth Proportional to 13,349.26, 18,421.77 and 8,047

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Solution

The fourth proportional to 13,349.26, 18,421.77 and 8,047 is: 11,104.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,349.26 : 18,421.77 = 8,047 : x
  2. Step 2: Convert to fraction form
    13,349.26/18,421.77 = 8,047/x
  3. Step 3: Cross multiply
    13,349.26x = 18,421.77 × 8,047
  4. Step 4: Simplify right side
    13,349.26x = 148,239,983.19
  5. Step 5: Solve for x
    x = 148,239,983.19/13,349.26
  6. Step 6: Final answer
    x = 11,104.73

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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.