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Finding the Fourth Proportional to 23,816.81, 32,866.93 and 13,745.13

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Solution

The fourth proportional to 23,816.81, 32,866.93 and 13,745.13 is: 18,968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,816.81 : 32,866.93 = 13,745.13 : x
  2. Step 2: Convert to fraction form
    23,816.81/32,866.93 = 13,745.13/x
  3. Step 3: Cross multiply
    23,816.81x = 32,866.93 × 13,745.13
  4. Step 4: Simplify right side
    23,816.81x = 451,760,225.55
  5. Step 5: Solve for x
    x = 451,760,225.55/23,816.81
  6. Step 6: Final answer
    x = 18,968.12

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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.