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Finding the Fourth Proportional to 12,451.57, 18,667.47 and 6,208.22

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Solution

The fourth proportional to 12,451.57, 18,667.47 and 6,208.22 is: 9,307.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.57 : 18,667.47 = 6,208.22 : x
  2. Step 2: Convert to fraction form
    12,451.57/18,667.47 = 6,208.22/x
  3. Step 3: Cross multiply
    12,451.57x = 18,667.47 × 6,208.22
  4. Step 4: Simplify right side
    12,451.57x = 115,891,760.60
  5. Step 5: Solve for x
    x = 115,891,760.60/12,451.57
  6. Step 6: Final answer
    x = 9,307.40

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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.