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Finding the Fourth Proportional to 23,682.53, 32,681.73 and 13,072.16

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Solution

The fourth proportional to 23,682.53, 32,681.73 and 13,072.16 is: 18,039.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,682.53 : 32,681.73 = 13,072.16 : x
  2. Step 2: Convert to fraction form
    23,682.53/32,681.73 = 13,072.16/x
  3. Step 3: Cross multiply
    23,682.53x = 32,681.73 × 13,072.16
  4. Step 4: Simplify right side
    23,682.53x = 427,220,640.23
  5. Step 5: Solve for x
    x = 427,220,640.23/23,682.53
  6. Step 6: Final answer
    x = 18,039.49

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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.