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Finding the Fourth Proportional to 13,507.88, 18,640.80 and 7,539.19

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Solution

The fourth proportional to 13,507.88, 18,640.80 and 7,539.19 is: 10,404.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507.88 : 18,640.80 = 7,539.19 : x
  2. Step 2: Convert to fraction form
    13,507.88/18,640.80 = 7,539.19/x
  3. Step 3: Cross multiply
    13,507.88x = 18,640.80 × 7,539.19
  4. Step 4: Simplify right side
    13,507.88x = 140,536,486.35
  5. Step 5: Solve for x
    x = 140,536,486.35/13,507.88
  6. Step 6: Final answer
    x = 10,404.04

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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.