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Finding the Fourth Proportional to 24,612.12, 33,964.56 and 13,434.12

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Solution

The fourth proportional to 24,612.12, 33,964.56 and 13,434.12 is: 18,539.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,612.12 : 33,964.56 = 13,434.12 : x
  2. Step 2: Convert to fraction form
    24,612.12/33,964.56 = 13,434.12/x
  3. Step 3: Cross multiply
    24,612.12x = 33,964.56 × 13,434.12
  4. Step 4: Simplify right side
    24,612.12x = 456,283,974.79
  5. Step 5: Solve for x
    x = 456,283,974.79/24,612.12
  6. Step 6: Final answer
    x = 18,539.00

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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.