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Finding the Fourth Proportional to 23,796, 32,839.20 and 13,184.64

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Solution

The fourth proportional to 23,796, 32,839.20 and 13,184.64 is: 18,195.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,796 : 32,839.20 = 13,184.64 : x
  2. Step 2: Convert to fraction form
    23,796/32,839.20 = 13,184.64/x
  3. Step 3: Cross multiply
    23,796x = 32,839.20 × 13,184.64
  4. Step 4: Simplify right side
    23,796x = 432,973,029.89
  5. Step 5: Solve for x
    x = 432,973,029.89/23,796
  6. Step 6: Final answer
    x = 18,195.20

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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.