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Finding the Fourth Proportional to 24,429, 33,712.02 and 13,818.42

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Solution

The fourth proportional to 24,429, 33,712.02 and 13,818.42 is: 19,069.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429 : 33,712.02 = 13,818.42 : x
  2. Step 2: Convert to fraction form
    24,429/33,712.02 = 13,818.42/x
  3. Step 3: Cross multiply
    24,429x = 33,712.02 × 13,818.42
  4. Step 4: Simplify right side
    24,429x = 465,846,851.41
  5. Step 5: Solve for x
    x = 465,846,851.41/24,429
  6. Step 6: Final answer
    x = 19,069.42

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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.