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Finding the Fourth Proportional to 14,652.18, 20,218.74 and 8,682.84

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Solution

The fourth proportional to 14,652.18, 20,218.74 and 8,682.84 is: 11,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.18 : 20,218.74 = 8,682.84 : x
  2. Step 2: Convert to fraction form
    14,652.18/20,218.74 = 8,682.84/x
  3. Step 3: Cross multiply
    14,652.18x = 20,218.74 × 8,682.84
  4. Step 4: Simplify right side
    14,652.18x = 175,556,084.42
  5. Step 5: Solve for x
    x = 175,556,084.42/14,652.18
  6. Step 6: Final answer
    x = 11,981.57

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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.