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Finding the Fourth Proportional to 19,446.50, 29,174.07 and 7,134.50

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Solution

The fourth proportional to 19,446.50, 29,174.07 and 7,134.50 is: 10,703.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446.50 : 29,174.07 = 7,134.50 : x
  2. Step 2: Convert to fraction form
    19,446.50/29,174.07 = 7,134.50/x
  3. Step 3: Cross multiply
    19,446.50x = 29,174.07 × 7,134.50
  4. Step 4: Simplify right side
    19,446.50x = 208,142,402.42
  5. Step 5: Solve for x
    x = 208,142,402.42/19,446.50
  6. Step 6: Final answer
    x = 10,703.33

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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.