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Finding the Fourth Proportional to 19,868.50, 29,784.22 and 6,711.67

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Solution

The fourth proportional to 19,868.50, 29,784.22 and 6,711.67 is: 10,061.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,868.50 : 29,784.22 = 6,711.67 : x
  2. Step 2: Convert to fraction form
    19,868.50/29,784.22 = 6,711.67/x
  3. Step 3: Cross multiply
    19,868.50x = 29,784.22 × 6,711.67
  4. Step 4: Simplify right side
    19,868.50x = 199,901,673.37
  5. Step 5: Solve for x
    x = 199,901,673.37/19,868.50
  6. Step 6: Final answer
    x = 10,061.24

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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.