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Finding the Fourth Proportional to 23,667.37, 32,660.97 and 13,057

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Solution

The fourth proportional to 23,667.37, 32,660.97 and 13,057 is: 18,018.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.37 : 32,660.97 = 13,057 : x
  2. Step 2: Convert to fraction form
    23,667.37/32,660.97 = 13,057/x
  3. Step 3: Cross multiply
    23,667.37x = 32,660.97 × 13,057
  4. Step 4: Simplify right side
    23,667.37x = 426,454,285.29
  5. Step 5: Solve for x
    x = 426,454,285.29/23,667.37
  6. Step 6: Final answer
    x = 18,018.66

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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.