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Finding the Fourth Proportional to 19,816.13, 29,703.24 and 7,328.13

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Solution

The fourth proportional to 19,816.13, 29,703.24 and 7,328.13 is: 10,984.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.13 : 29,703.24 = 7,328.13 : x
  2. Step 2: Convert to fraction form
    19,816.13/29,703.24 = 7,328.13/x
  3. Step 3: Cross multiply
    19,816.13x = 29,703.24 × 7,328.13
  4. Step 4: Simplify right side
    19,816.13x = 217,669,167.50
  5. Step 5: Solve for x
    x = 217,669,167.50/19,816.13
  6. Step 6: Final answer
    x = 10,984.44

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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.