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Finding the Fourth Proportional to 13,430.96, 18,538.68 and 7,843.28

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Solution

The fourth proportional to 13,430.96, 18,538.68 and 7,843.28 is: 10,826.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,430.96 : 18,538.68 = 7,843.28 : x
  2. Step 2: Convert to fraction form
    13,430.96/18,538.68 = 7,843.28/x
  3. Step 3: Cross multiply
    13,430.96x = 18,538.68 × 7,843.28
  4. Step 4: Simplify right side
    13,430.96x = 145,404,058.07
  5. Step 5: Solve for x
    x = 145,404,058.07/13,430.96
  6. Step 6: Final answer
    x = 10,826.04

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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.