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Finding the Fourth Proportional to 24,394.76, 33,664.62 and 13,784.42

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Solution

The fourth proportional to 24,394.76, 33,664.62 and 13,784.42 is: 19,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.76 : 33,664.62 = 13,784.42 : x
  2. Step 2: Convert to fraction form
    24,394.76/33,664.62 = 13,784.42/x
  3. Step 3: Cross multiply
    24,394.76x = 33,664.62 × 13,784.42
  4. Step 4: Simplify right side
    24,394.76x = 464,047,261.22
  5. Step 5: Solve for x
    x = 464,047,261.22/24,394.76
  6. Step 6: Final answer
    x = 19,022.42

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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.