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Finding the Fourth Proportional to 20,569.68, 28,384.69 and 12,072.15

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Solution

The fourth proportional to 20,569.68, 28,384.69 and 12,072.15 is: 16,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,569.68 : 28,384.69 = 12,072.15 : x
  2. Step 2: Convert to fraction form
    20,569.68/28,384.69 = 12,072.15/x
  3. Step 3: Cross multiply
    20,569.68x = 28,384.69 × 12,072.15
  4. Step 4: Simplify right side
    20,569.68x = 342,664,235.38
  5. Step 5: Solve for x
    x = 342,664,235.38/20,569.68
  6. Step 6: Final answer
    x = 16,658.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.