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Finding the Fourth Proportional to 14,157.23, 19,535.76 and 8,189.24

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Solution

The fourth proportional to 14,157.23, 19,535.76 and 8,189.24 is: 11,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.23 : 19,535.76 = 8,189.24 : x
  2. Step 2: Convert to fraction form
    14,157.23/19,535.76 = 8,189.24/x
  3. Step 3: Cross multiply
    14,157.23x = 19,535.76 × 8,189.24
  4. Step 4: Simplify right side
    14,157.23x = 159,982,929.54
  5. Step 5: Solve for x
    x = 159,982,929.54/14,157.23
  6. Step 6: Final answer
    x = 11,300.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.