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Finding the Fourth Proportional to 23,667.24, 32,661 and 13,057.24

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Solution

The fourth proportional to 23,667.24, 32,661 and 13,057.24 is: 18,019.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,667.24 : 32,661 = 13,057.24 : x
  2. Step 2: Convert to fraction form
    23,667.24/32,661 = 13,057.24/x
  3. Step 3: Cross multiply
    23,667.24x = 32,661 × 13,057.24
  4. Step 4: Simplify right side
    23,667.24x = 426,462,515.64
  5. Step 5: Solve for x
    x = 426,462,515.64/23,667.24
  6. Step 6: Final answer
    x = 18,019.11

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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.