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Finding the Fourth Proportional to 23,832.88, 32,894.06 and 13,767.84

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Solution

The fourth proportional to 23,832.88, 32,894.06 and 13,767.84 is: 19,002.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832.88 : 32,894.06 = 13,767.84 : x
  2. Step 2: Convert to fraction form
    23,832.88/32,894.06 = 13,767.84/x
  3. Step 3: Cross multiply
    23,832.88x = 32,894.06 × 13,767.84
  4. Step 4: Simplify right side
    23,832.88x = 452,880,155.03
  5. Step 5: Solve for x
    x = 452,880,155.03/23,832.88
  6. Step 6: Final answer
    x = 19,002.33

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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.