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Finding the Fourth Proportional to 12,667.54, 17,480.76 and 7,002.16

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Solution

The fourth proportional to 12,667.54, 17,480.76 and 7,002.16 is: 9,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,667.54 : 17,480.76 = 7,002.16 : x
  2. Step 2: Convert to fraction form
    12,667.54/17,480.76 = 7,002.16/x
  3. Step 3: Cross multiply
    12,667.54x = 17,480.76 × 7,002.16
  4. Step 4: Simplify right side
    12,667.54x = 122,403,078.44
  5. Step 5: Solve for x
    x = 122,403,078.44/12,667.54
  6. Step 6: Final answer
    x = 9,662.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.