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Finding the Fourth Proportional to 21,213.45, 31,818.87 and 8,065.53

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Solution

The fourth proportional to 21,213.45, 31,818.87 and 8,065.53 is: 12,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.45 : 31,818.87 = 8,065.53 : x
  2. Step 2: Convert to fraction form
    21,213.45/31,818.87 = 8,065.53/x
  3. Step 3: Cross multiply
    21,213.45x = 31,818.87 × 8,065.53
  4. Step 4: Simplify right side
    21,213.45x = 256,636,050.55
  5. Step 5: Solve for x
    x = 256,636,050.55/21,213.45
  6. Step 6: Final answer
    x = 12,097.80

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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.