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Finding the Fourth Proportional to 13,897.81, 20,842.31 and 11,677.26

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Solution

The fourth proportional to 13,897.81, 20,842.31 and 11,677.26 is: 17,512.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.81 : 20,842.31 = 11,677.26 : x
  2. Step 2: Convert to fraction form
    13,897.81/20,842.31 = 11,677.26/x
  3. Step 3: Cross multiply
    13,897.81x = 20,842.31 × 11,677.26
  4. Step 4: Simplify right side
    13,897.81x = 243,381,180.22
  5. Step 5: Solve for x
    x = 243,381,180.22/13,897.81
  6. Step 6: Final answer
    x = 17,512.19

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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.