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Finding the Fourth Proportional to 22,495.21, 31,047.39 and 13,421.14

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Solution

The fourth proportional to 22,495.21, 31,047.39 and 13,421.14 is: 18,523.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,495.21 : 31,047.39 = 13,421.14 : x
  2. Step 2: Convert to fraction form
    22,495.21/31,047.39 = 13,421.14/x
  3. Step 3: Cross multiply
    22,495.21x = 31,047.39 × 13,421.14
  4. Step 4: Simplify right side
    22,495.21x = 416,691,290.21
  5. Step 5: Solve for x
    x = 416,691,290.21/22,495.21
  6. Step 6: Final answer
    x = 18,523.56

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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.