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Finding the Fourth Proportional to 19,535.43, 29,297.01 and 7,053.81

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Solution

The fourth proportional to 19,535.43, 29,297.01 and 7,053.81 is: 10,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,535.43 : 29,297.01 = 7,053.81 : x
  2. Step 2: Convert to fraction form
    19,535.43/29,297.01 = 7,053.81/x
  3. Step 3: Cross multiply
    19,535.43x = 29,297.01 × 7,053.81
  4. Step 4: Simplify right side
    19,535.43x = 206,655,542.11
  5. Step 5: Solve for x
    x = 206,655,542.11/19,535.43
  6. Step 6: Final answer
    x = 10,578.50

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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.