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Finding the Fourth Proportional to 13,405.82, 18,500.91 and 7,740.81

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Solution

The fourth proportional to 13,405.82, 18,500.91 and 7,740.81 is: 10,682.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,405.82 : 18,500.91 = 7,740.81 : x
  2. Step 2: Convert to fraction form
    13,405.82/18,500.91 = 7,740.81/x
  3. Step 3: Cross multiply
    13,405.82x = 18,500.91 × 7,740.81
  4. Step 4: Simplify right side
    13,405.82x = 143,211,963.53
  5. Step 5: Solve for x
    x = 143,211,963.53/13,405.82
  6. Step 6: Final answer
    x = 10,682.82

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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.