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Finding the Fourth Proportional to 23,687.10, 32,687.73 and 13,077.18

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Solution

The fourth proportional to 23,687.10, 32,687.73 and 13,077.18 is: 18,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,687.10 : 32,687.73 = 13,077.18 : x
  2. Step 2: Convert to fraction form
    23,687.10/32,687.73 = 13,077.18/x
  3. Step 3: Cross multiply
    23,687.10x = 32,687.73 × 13,077.18
  4. Step 4: Simplify right side
    23,687.10x = 427,463,329.00
  5. Step 5: Solve for x
    x = 427,463,329.00/23,687.10
  6. Step 6: Final answer
    x = 18,046.25

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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.