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Finding the Fourth Proportional to 13,717.89, 18,930.78 and 7,430.27

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Solution

The fourth proportional to 13,717.89, 18,930.78 and 7,430.27 is: 10,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.89 : 18,930.78 = 7,430.27 : x
  2. Step 2: Convert to fraction form
    13,717.89/18,930.78 = 7,430.27/x
  3. Step 3: Cross multiply
    13,717.89x = 18,930.78 × 7,430.27
  4. Step 4: Simplify right side
    13,717.89x = 140,660,806.71
  5. Step 5: Solve for x
    x = 140,660,806.71/13,717.89
  6. Step 6: Final answer
    x = 10,253.82

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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.