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Finding the Fourth Proportional to 14,598.68, 20,146.33 and 8,311.46

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Solution

The fourth proportional to 14,598.68, 20,146.33 and 8,311.46 is: 11,469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,598.68 : 20,146.33 = 8,311.46 : x
  2. Step 2: Convert to fraction form
    14,598.68/20,146.33 = 8,311.46/x
  3. Step 3: Cross multiply
    14,598.68x = 20,146.33 × 8,311.46
  4. Step 4: Simplify right side
    14,598.68x = 167,445,415.94
  5. Step 5: Solve for x
    x = 167,445,415.94/14,598.68
  6. Step 6: Final answer
    x = 11,469.90

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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.