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Finding the Fourth Proportional to 19,808.82, 29,711.82 and 7,323.06

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Solution

The fourth proportional to 19,808.82, 29,711.82 and 7,323.06 is: 10,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,808.82 : 29,711.82 = 7,323.06 : x
  2. Step 2: Convert to fraction form
    19,808.82/29,711.82 = 7,323.06/x
  3. Step 3: Cross multiply
    19,808.82x = 29,711.82 × 7,323.06
  4. Step 4: Simplify right side
    19,808.82x = 217,581,440.57
  5. Step 5: Solve for x
    x = 217,581,440.57/19,808.82
  6. Step 6: Final answer
    x = 10,984.07

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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.