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Finding the Fourth Proportional to 23,809.20, 35,689.32 and 16,020.24

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Solution

The fourth proportional to 23,809.20, 35,689.32 and 16,020.24 is: 24,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,809.20 : 35,689.32 = 16,020.24 : x
  2. Step 2: Convert to fraction form
    23,809.20/35,689.32 = 16,020.24/x
  3. Step 3: Cross multiply
    23,809.20x = 35,689.32 × 16,020.24
  4. Step 4: Simplify right side
    23,809.20x = 571,751,471.84
  5. Step 5: Solve for x
    x = 571,751,471.84/23,809.20
  6. Step 6: Final answer
    x = 24,013.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.