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Finding the Fourth Proportional to 19,710, 29,563.92 and 8,033.04

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Solution

The fourth proportional to 19,710, 29,563.92 and 8,033.04 is: 12,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,710 : 29,563.92 = 8,033.04 : x
  2. Step 2: Convert to fraction form
    19,710/29,563.92 = 8,033.04/x
  3. Step 3: Cross multiply
    19,710x = 29,563.92 × 8,033.04
  4. Step 4: Simplify right side
    19,710x = 237,488,151.92
  5. Step 5: Solve for x
    x = 237,488,151.92/19,710
  6. Step 6: Final answer
    x = 12,049.12

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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.