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Finding the Fourth Proportional to 24,394.79, 33,664.38 and 13,784.20

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Solution

The fourth proportional to 24,394.79, 33,664.38 and 13,784.20 is: 19,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.79 : 33,664.38 = 13,784.20 : x
  2. Step 2: Convert to fraction form
    24,394.79/33,664.38 = 13,784.20/x
  3. Step 3: Cross multiply
    24,394.79x = 33,664.38 × 13,784.20
  4. Step 4: Simplify right side
    24,394.79x = 464,036,410.94
  5. Step 5: Solve for x
    x = 464,036,410.94/24,394.79
  6. Step 6: Final answer
    x = 19,021.95

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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.