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Finding the Fourth Proportional to 19,364.16, 29,049.48 and 15,204

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Solution

The fourth proportional to 19,364.16, 29,049.48 and 15,204 is: 22,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,364.16 : 29,049.48 = 15,204 : x
  2. Step 2: Convert to fraction form
    19,364.16/29,049.48 = 15,204/x
  3. Step 3: Cross multiply
    19,364.16x = 29,049.48 × 15,204
  4. Step 4: Simplify right side
    19,364.16x = 441,668,293.92
  5. Step 5: Solve for x
    x = 441,668,293.92/19,364.16
  6. Step 6: Final answer
    x = 22,808.54

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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.