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Finding the Fourth Proportional to 19,874.67, 29,784.06 and 15,696.33

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Solution

The fourth proportional to 19,874.67, 29,784.06 and 15,696.33 is: 23,522.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.67 : 29,784.06 = 15,696.33 : x
  2. Step 2: Convert to fraction form
    19,874.67/29,784.06 = 15,696.33/x
  3. Step 3: Cross multiply
    19,874.67x = 29,784.06 × 15,696.33
  4. Step 4: Simplify right side
    19,874.67x = 467,500,434.50
  5. Step 5: Solve for x
    x = 467,500,434.50/19,874.67
  6. Step 6: Final answer
    x = 23,522.43

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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.