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Finding the Fourth Proportional to 15,194.33, 22,784.79 and 6,874.01

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Solution

The fourth proportional to 15,194.33, 22,784.79 and 6,874.01 is: 10,307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,194.33 : 22,784.79 = 6,874.01 : x
  2. Step 2: Convert to fraction form
    15,194.33/22,784.79 = 6,874.01/x
  3. Step 3: Cross multiply
    15,194.33x = 22,784.79 × 6,874.01
  4. Step 4: Simplify right side
    15,194.33x = 156,622,874.31
  5. Step 5: Solve for x
    x = 156,622,874.31/15,194.33
  6. Step 6: Final answer
    x = 10,307.98

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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.