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Finding the Fourth Proportional to 13,717.69, 18,930.41 and 7,430.06

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Solution

The fourth proportional to 13,717.69, 18,930.41 and 7,430.06 is: 10,253.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.69 : 18,930.41 = 7,430.06 : x
  2. Step 2: Convert to fraction form
    13,717.69/18,930.41 = 7,430.06/x
  3. Step 3: Cross multiply
    13,717.69x = 18,930.41 × 7,430.06
  4. Step 4: Simplify right side
    13,717.69x = 140,654,120.16
  5. Step 5: Solve for x
    x = 140,654,120.16/13,717.69
  6. Step 6: Final answer
    x = 10,253.49

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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.