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Finding the Fourth Proportional to 19,380.24, 29,029 and 9,369.84

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Solution

The fourth proportional to 19,380.24, 29,029 and 9,369.84 is: 14,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,380.24 : 29,029 = 9,369.84 : x
  2. Step 2: Convert to fraction form
    19,380.24/29,029 = 9,369.84/x
  3. Step 3: Cross multiply
    19,380.24x = 29,029 × 9,369.84
  4. Step 4: Simplify right side
    19,380.24x = 271,997,085.36
  5. Step 5: Solve for x
    x = 271,997,085.36/19,380.24
  6. Step 6: Final answer
    x = 14,034.76

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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.