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Finding the Fourth Proportional to 13,506.95, 18,640.53 and 7,539.82

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Solution

The fourth proportional to 13,506.95, 18,640.53 and 7,539.82 is: 10,405.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.95 : 18,640.53 = 7,539.82 : x
  2. Step 2: Convert to fraction form
    13,506.95/18,640.53 = 7,539.82/x
  3. Step 3: Cross multiply
    13,506.95x = 18,640.53 × 7,539.82
  4. Step 4: Simplify right side
    13,506.95x = 140,546,194.30
  5. Step 5: Solve for x
    x = 140,546,194.30/13,506.95
  6. Step 6: Final answer
    x = 10,405.47

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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.