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Finding the Fourth Proportional to 24,676, 34,052.88 and 13,498.24

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Solution

The fourth proportional to 24,676, 34,052.88 and 13,498.24 is: 18,627.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,676 : 34,052.88 = 13,498.24 : x
  2. Step 2: Convert to fraction form
    24,676/34,052.88 = 13,498.24/x
  3. Step 3: Cross multiply
    24,676x = 34,052.88 × 13,498.24
  4. Step 4: Simplify right side
    24,676x = 459,653,946.93
  5. Step 5: Solve for x
    x = 459,653,946.93/24,676
  6. Step 6: Final answer
    x = 18,627.57

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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.