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Finding the Fourth Proportional to 28,516.57, 42,777.14 and 8,524.60

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Solution

The fourth proportional to 28,516.57, 42,777.14 and 8,524.60 is: 12,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,516.57 : 42,777.14 = 8,524.60 : x
  2. Step 2: Convert to fraction form
    28,516.57/42,777.14 = 8,524.60/x
  3. Step 3: Cross multiply
    28,516.57x = 42,777.14 × 8,524.60
  4. Step 4: Simplify right side
    28,516.57x = 364,657,996.99
  5. Step 5: Solve for x
    x = 364,657,996.99/28,516.57
  6. Step 6: Final answer
    x = 12,787.58

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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.