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Finding the Fourth Proportional to 23,815.56, 35,697.42 and 16,005

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Solution

The fourth proportional to 23,815.56, 35,697.42 and 16,005 is: 23,990.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,815.56 : 35,697.42 = 16,005 : x
  2. Step 2: Convert to fraction form
    23,815.56/35,697.42 = 16,005/x
  3. Step 3: Cross multiply
    23,815.56x = 35,697.42 × 16,005
  4. Step 4: Simplify right side
    23,815.56x = 571,337,207.10
  5. Step 5: Solve for x
    x = 571,337,207.10/23,815.56
  6. Step 6: Final answer
    x = 23,990.08

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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.