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Finding the Fourth Proportional to 16,078.37, 24,125.78 and 7,654.39

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Solution

The fourth proportional to 16,078.37, 24,125.78 and 7,654.39 is: 11,485.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,078.37 : 24,125.78 = 7,654.39 : x
  2. Step 2: Convert to fraction form
    16,078.37/24,125.78 = 7,654.39/x
  3. Step 3: Cross multiply
    16,078.37x = 24,125.78 × 7,654.39
  4. Step 4: Simplify right side
    16,078.37x = 184,668,209.90
  5. Step 5: Solve for x
    x = 184,668,209.90/16,078.37
  6. Step 6: Final answer
    x = 11,485.51

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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.