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Finding the Fourth Proportional to 14,633.76, 20,188.96 and 8,342.80

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Solution

The fourth proportional to 14,633.76, 20,188.96 and 8,342.80 is: 11,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,633.76 : 20,188.96 = 8,342.80 : x
  2. Step 2: Convert to fraction form
    14,633.76/20,188.96 = 8,342.80/x
  3. Step 3: Cross multiply
    14,633.76x = 20,188.96 × 8,342.80
  4. Step 4: Simplify right side
    14,633.76x = 168,432,455.49
  5. Step 5: Solve for x
    x = 168,432,455.49/14,633.76
  6. Step 6: Final answer
    x = 11,509.85

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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.