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Finding the Fourth Proportional to 12,702.96, 17,530.70 and 7,667.09

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Solution

The fourth proportional to 12,702.96, 17,530.70 and 7,667.09 is: 10,580.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.96 : 17,530.70 = 7,667.09 : x
  2. Step 2: Convert to fraction form
    12,702.96/17,530.70 = 7,667.09/x
  3. Step 3: Cross multiply
    12,702.96x = 17,530.70 × 7,667.09
  4. Step 4: Simplify right side
    12,702.96x = 134,409,454.66
  5. Step 5: Solve for x
    x = 134,409,454.66/12,702.96
  6. Step 6: Final answer
    x = 10,580.96

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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.