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Finding the Fourth Proportional to 12,702.94, 17,530.65 and 7,667.05

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Solution

The fourth proportional to 12,702.94, 17,530.65 and 7,667.05 is: 10,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,702.94 : 17,530.65 = 7,667.05 : x
  2. Step 2: Convert to fraction form
    12,702.94/17,530.65 = 7,667.05/x
  3. Step 3: Cross multiply
    12,702.94x = 17,530.65 × 7,667.05
  4. Step 4: Simplify right side
    12,702.94x = 134,408,344.53
  5. Step 5: Solve for x
    x = 134,408,344.53/12,702.94
  6. Step 6: Final answer
    x = 10,580.89

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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.