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Finding the Fourth Proportional to 13,702.94, 20,548 and 4,936.70

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Solution

The fourth proportional to 13,702.94, 20,548 and 4,936.70 is: 7,402.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,702.94 : 20,548 = 4,936.70 : x
  2. Step 2: Convert to fraction form
    13,702.94/20,548 = 4,936.70/x
  3. Step 3: Cross multiply
    13,702.94x = 20,548 × 4,936.70
  4. Step 4: Simplify right side
    13,702.94x = 101,439,311.60
  5. Step 5: Solve for x
    x = 101,439,311.60/13,702.94
  6. Step 6: Final answer
    x = 7,402.74

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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.