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Finding the Fourth Proportional to 19,504.92, 29,239.92 and 7,022.01

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Solution

The fourth proportional to 19,504.92, 29,239.92 and 7,022.01 is: 10,526.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,504.92 : 29,239.92 = 7,022.01 : x
  2. Step 2: Convert to fraction form
    19,504.92/29,239.92 = 7,022.01/x
  3. Step 3: Cross multiply
    19,504.92x = 29,239.92 × 7,022.01
  4. Step 4: Simplify right side
    19,504.92x = 205,323,010.64
  5. Step 5: Solve for x
    x = 205,323,010.64/19,504.92
  6. Step 6: Final answer
    x = 10,526.73

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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.