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Finding the Fourth Proportional to 19,384.92, 29,060.03 and 9,384.01

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Solution

The fourth proportional to 19,384.92, 29,060.03 and 9,384.01 is: 14,067.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.92 : 29,060.03 = 9,384.01 : x
  2. Step 2: Convert to fraction form
    19,384.92/29,060.03 = 9,384.01/x
  3. Step 3: Cross multiply
    19,384.92x = 29,060.03 × 9,384.01
  4. Step 4: Simplify right side
    19,384.92x = 272,699,562.93
  5. Step 5: Solve for x
    x = 272,699,562.93/19,384.92
  6. Step 6: Final answer
    x = 14,067.61

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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.