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Finding the Fourth Proportional to 16,667.22, 24,993.54 and 7,904.64

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Solution

The fourth proportional to 16,667.22, 24,993.54 and 7,904.64 is: 11,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,667.22 : 24,993.54 = 7,904.64 : x
  2. Step 2: Convert to fraction form
    16,667.22/24,993.54 = 7,904.64/x
  3. Step 3: Cross multiply
    16,667.22x = 24,993.54 × 7,904.64
  4. Step 4: Simplify right side
    16,667.22x = 197,564,936.03
  5. Step 5: Solve for x
    x = 197,564,936.03/16,667.22
  6. Step 6: Final answer
    x = 11,853.50

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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.