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Finding the Fourth Proportional to 13,147.63, 18,143.73 and 7,842.45

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Solution

The fourth proportional to 13,147.63, 18,143.73 and 7,842.45 is: 10,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,147.63 : 18,143.73 = 7,842.45 : x
  2. Step 2: Convert to fraction form
    13,147.63/18,143.73 = 7,842.45/x
  3. Step 3: Cross multiply
    13,147.63x = 18,143.73 × 7,842.45
  4. Step 4: Simplify right side
    13,147.63x = 142,291,193.75
  5. Step 5: Solve for x
    x = 142,291,193.75/13,147.63
  6. Step 6: Final answer
    x = 10,822.57

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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.