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Finding the Fourth Proportional to 24,836.91, 34,274.75 and 13,506.42

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Solution

The fourth proportional to 24,836.91, 34,274.75 and 13,506.42 is: 18,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,836.91 : 34,274.75 = 13,506.42 : x
  2. Step 2: Convert to fraction form
    24,836.91/34,274.75 = 13,506.42/x
  3. Step 3: Cross multiply
    24,836.91x = 34,274.75 × 13,506.42
  4. Step 4: Simplify right side
    24,836.91x = 462,929,101.36
  5. Step 5: Solve for x
    x = 462,929,101.36/24,836.91
  6. Step 6: Final answer
    x = 18,638.76

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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.