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Finding the Fourth Proportional to 13,507.58, 18,640.49 and 7,539.26

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Solution

The fourth proportional to 13,507.58, 18,640.49 and 7,539.26 is: 10,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.58 : 18,640.49 = 7,539.26 : x
  2. Step 2: Convert to fraction form
    13,507.58/18,640.49 = 7,539.26/x
  3. Step 3: Cross multiply
    13,507.58x = 18,640.49 × 7,539.26
  4. Step 4: Simplify right side
    13,507.58x = 140,535,369.74
  5. Step 5: Solve for x
    x = 140,535,369.74/13,507.58
  6. Step 6: Final answer
    x = 10,404.18

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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.