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Finding the Fourth Proportional to 11,563.92, 17,303.25 and 8,176.71

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Solution

The fourth proportional to 11,563.92, 17,303.25 and 8,176.71 is: 12,234.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.92 : 17,303.25 = 8,176.71 : x
  2. Step 2: Convert to fraction form
    11,563.92/17,303.25 = 8,176.71/x
  3. Step 3: Cross multiply
    11,563.92x = 17,303.25 × 8,176.71
  4. Step 4: Simplify right side
    11,563.92x = 141,483,657.31
  5. Step 5: Solve for x
    x = 141,483,657.31/11,563.92
  6. Step 6: Final answer
    x = 12,234.92

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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.