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Finding the Fourth Proportional to 19,719.99, 29,562.44 and 7,237.16

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Solution

The fourth proportional to 19,719.99, 29,562.44 and 7,237.16 is: 10,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,719.99 : 29,562.44 = 7,237.16 : x
  2. Step 2: Convert to fraction form
    19,719.99/29,562.44 = 7,237.16/x
  3. Step 3: Cross multiply
    19,719.99x = 29,562.44 × 7,237.16
  4. Step 4: Simplify right side
    19,719.99x = 213,947,924.27
  5. Step 5: Solve for x
    x = 213,947,924.27/19,719.99
  6. Step 6: Final answer
    x = 10,849.29

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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.