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Finding the Fourth Proportional to 12,941.12, 17,858.76 and 7,353.20

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Solution

The fourth proportional to 12,941.12, 17,858.76 and 7,353.20 is: 10,147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,941.12 : 17,858.76 = 7,353.20 : x
  2. Step 2: Convert to fraction form
    12,941.12/17,858.76 = 7,353.20/x
  3. Step 3: Cross multiply
    12,941.12x = 17,858.76 × 7,353.20
  4. Step 4: Simplify right side
    12,941.12x = 131,319,034.03
  5. Step 5: Solve for x
    x = 131,319,034.03/12,941.12
  6. Step 6: Final answer
    x = 10,147.42

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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.