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Finding the Fourth Proportional to 13,717.85, 18,930.65 and 7,430.22

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Solution

The fourth proportional to 13,717.85, 18,930.65 and 7,430.22 is: 10,253.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.85 : 18,930.65 = 7,430.22 : x
  2. Step 2: Convert to fraction form
    13,717.85/18,930.65 = 7,430.22/x
  3. Step 3: Cross multiply
    13,717.85x = 18,930.65 × 7,430.22
  4. Step 4: Simplify right side
    13,717.85x = 140,658,857.09
  5. Step 5: Solve for x
    x = 140,658,857.09/13,717.85
  6. Step 6: Final answer
    x = 10,253.71

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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.