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Finding the Fourth Proportional to 13,717.75, 18,930.43 and 7,430.13

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Solution

The fourth proportional to 13,717.75, 18,930.43 and 7,430.13 is: 10,253.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,717.75 : 18,930.43 = 7,430.13 : x
  2. Step 2: Convert to fraction form
    13,717.75/18,930.43 = 7,430.13/x
  3. Step 3: Cross multiply
    13,717.75x = 18,930.43 × 7,430.13
  4. Step 4: Simplify right side
    13,717.75x = 140,655,555.86
  5. Step 5: Solve for x
    x = 140,655,555.86/13,717.75
  6. Step 6: Final answer
    x = 10,253.54

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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.