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Finding the Fourth Proportional to 16,774.08, 25,162.20 and 9,834

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Solution

The fourth proportional to 16,774.08, 25,162.20 and 9,834 is: 14,751.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,774.08 : 25,162.20 = 9,834 : x
  2. Step 2: Convert to fraction form
    16,774.08/25,162.20 = 9,834/x
  3. Step 3: Cross multiply
    16,774.08x = 25,162.20 × 9,834
  4. Step 4: Simplify right side
    16,774.08x = 247,445,074.80
  5. Step 5: Solve for x
    x = 247,445,074.80/16,774.08
  6. Step 6: Final answer
    x = 14,751.63

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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.