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Finding the Fourth Proportional to 23,215, 32,040.75 and 13,783.36

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Solution

The fourth proportional to 23,215, 32,040.75 and 13,783.36 is: 19,023.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,215 : 32,040.75 = 13,783.36 : x
  2. Step 2: Convert to fraction form
    23,215/32,040.75 = 13,783.36/x
  3. Step 3: Cross multiply
    23,215x = 32,040.75 × 13,783.36
  4. Step 4: Simplify right side
    23,215x = 441,629,191.92
  5. Step 5: Solve for x
    x = 441,629,191.92/23,215
  6. Step 6: Final answer
    x = 19,023.44

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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.