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Finding the Fourth Proportional to 13,665.81, 18,858.73 and 7,699.40

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Solution

The fourth proportional to 13,665.81, 18,858.73 and 7,699.40 is: 10,625.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,665.81 : 18,858.73 = 7,699.40 : x
  2. Step 2: Convert to fraction form
    13,665.81/18,858.73 = 7,699.40/x
  3. Step 3: Cross multiply
    13,665.81x = 18,858.73 × 7,699.40
  4. Step 4: Simplify right side
    13,665.81x = 145,200,792.22
  5. Step 5: Solve for x
    x = 145,200,792.22/13,665.81
  6. Step 6: Final answer
    x = 10,625.12

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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.