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Finding the Fourth Proportional to 19,989.00, 29,950.69 and 6,834.19

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Solution

The fourth proportional to 19,989.00, 29,950.69 and 6,834.19 is: 10,240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,989.00 : 29,950.69 = 6,834.19 : x
  2. Step 2: Convert to fraction form
    19,989.00/29,950.69 = 6,834.19/x
  3. Step 3: Cross multiply
    19,989.00x = 29,950.69 × 6,834.19
  4. Step 4: Simplify right side
    19,989.00x = 204,688,671.92
  5. Step 5: Solve for x
    x = 204,688,671.92/19,989.00
  6. Step 6: Final answer
    x = 10,240.07

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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.