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Finding the Fourth Proportional to 13,507.60, 18,640.84 and 7,539.24

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Solution

The fourth proportional to 13,507.60, 18,640.84 and 7,539.24 is: 10,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.60 : 18,640.84 = 7,539.24 : x
  2. Step 2: Convert to fraction form
    13,507.60/18,640.84 = 7,539.24/x
  3. Step 3: Cross multiply
    13,507.60x = 18,640.84 × 7,539.24
  4. Step 4: Simplify right side
    13,507.60x = 140,537,766.56
  5. Step 5: Solve for x
    x = 140,537,766.56/13,507.60
  6. Step 6: Final answer
    x = 10,404.35

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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.