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Finding the Fourth Proportional to 14,697.92, 20,278.23 and 8,323.86

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Solution

The fourth proportional to 14,697.92, 20,278.23 and 8,323.86 is: 11,484.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,697.92 : 20,278.23 = 8,323.86 : x
  2. Step 2: Convert to fraction form
    14,697.92/20,278.23 = 8,323.86/x
  3. Step 3: Cross multiply
    14,697.92x = 20,278.23 × 8,323.86
  4. Step 4: Simplify right side
    14,697.92x = 168,793,147.57
  5. Step 5: Solve for x
    x = 168,793,147.57/14,697.92
  6. Step 6: Final answer
    x = 11,484.16

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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.