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Finding the Fourth Proportional to 13,405.55, 18,496.89 and 7,740.20

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Solution

The fourth proportional to 13,405.55, 18,496.89 and 7,740.20 is: 10,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.55 : 18,496.89 = 7,740.20 : x
  2. Step 2: Convert to fraction form
    13,405.55/18,496.89 = 7,740.20/x
  3. Step 3: Cross multiply
    13,405.55x = 18,496.89 × 7,740.20
  4. Step 4: Simplify right side
    13,405.55x = 143,169,627.98
  5. Step 5: Solve for x
    x = 143,169,627.98/13,405.55
  6. Step 6: Final answer
    x = 10,679.88

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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.