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Finding the Fourth Proportional to 15,684.09, 23,511.69 and 6,793.83

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Solution

The fourth proportional to 15,684.09, 23,511.69 and 6,793.83 is: 10,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,684.09 : 23,511.69 = 6,793.83 : x
  2. Step 2: Convert to fraction form
    15,684.09/23,511.69 = 6,793.83/x
  3. Step 3: Cross multiply
    15,684.09x = 23,511.69 × 6,793.83
  4. Step 4: Simplify right side
    15,684.09x = 159,734,538.52
  5. Step 5: Solve for x
    x = 159,734,538.52/15,684.09
  6. Step 6: Final answer
    x = 10,184.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.