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Finding the Fourth Proportional to 10,794, 16,191.54 and 10,225.92

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Solution

The fourth proportional to 10,794, 16,191.54 and 10,225.92 is: 15,339.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,794 : 16,191.54 = 10,225.92 : x
  2. Step 2: Convert to fraction form
    10,794/16,191.54 = 10,225.92/x
  3. Step 3: Cross multiply
    10,794x = 16,191.54 × 10,225.92
  4. Step 4: Simplify right side
    10,794x = 165,573,392.72
  5. Step 5: Solve for x
    x = 165,573,392.72/10,794
  6. Step 6: Final answer
    x = 15,339.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.