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Finding the Fourth Proportional to 13,546.85, 18,695.64 and 7,580.44

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Solution

The fourth proportional to 13,546.85, 18,695.64 and 7,580.44 is: 10,461.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,546.85 : 18,695.64 = 7,580.44 : x
  2. Step 2: Convert to fraction form
    13,546.85/18,695.64 = 7,580.44/x
  3. Step 3: Cross multiply
    13,546.85x = 18,695.64 × 7,580.44
  4. Step 4: Simplify right side
    13,546.85x = 141,721,177.28
  5. Step 5: Solve for x
    x = 141,721,177.28/13,546.85
  6. Step 6: Final answer
    x = 10,461.56

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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.