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Finding the Fourth Proportional to 23,783.99, 32,825.11 and 13,712.24

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Solution

The fourth proportional to 23,783.99, 32,825.11 and 13,712.24 is: 18,924.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,783.99 : 32,825.11 = 13,712.24 : x
  2. Step 2: Convert to fraction form
    23,783.99/32,825.11 = 13,712.24/x
  3. Step 3: Cross multiply
    23,783.99x = 32,825.11 × 13,712.24
  4. Step 4: Simplify right side
    23,783.99x = 450,105,786.35
  5. Step 5: Solve for x
    x = 450,105,786.35/23,783.99
  6. Step 6: Final answer
    x = 18,924.74

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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.