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Finding the Fourth Proportional to 12,702.07, 17,529.78 and 7,667.52

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Solution

The fourth proportional to 12,702.07, 17,529.78 and 7,667.52 is: 10,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.07 : 17,529.78 = 7,667.52 : x
  2. Step 2: Convert to fraction form
    12,702.07/17,529.78 = 7,667.52/x
  3. Step 3: Cross multiply
    12,702.07x = 17,529.78 × 7,667.52
  4. Step 4: Simplify right side
    12,702.07x = 134,409,938.75
  5. Step 5: Solve for x
    x = 134,409,938.75/12,702.07
  6. Step 6: Final answer
    x = 10,581.74

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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.