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Finding the Fourth Proportional to 24,394.52, 33,664.95 and 13,784.40

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Solution

The fourth proportional to 24,394.52, 33,664.95 and 13,784.40 is: 19,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.52 : 33,664.95 = 13,784.40 : x
  2. Step 2: Convert to fraction form
    24,394.52/33,664.95 = 13,784.40/x
  3. Step 3: Cross multiply
    24,394.52x = 33,664.95 × 13,784.40
  4. Step 4: Simplify right side
    24,394.52x = 464,051,136.78
  5. Step 5: Solve for x
    x = 464,051,136.78/24,394.52
  6. Step 6: Final answer
    x = 19,022.76

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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.