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Finding the Fourth Proportional to 12,636.95, 17,439.09 and 6,971.90

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Solution

The fourth proportional to 12,636.95, 17,439.09 and 6,971.90 is: 9,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.95 : 17,439.09 = 6,971.90 : x
  2. Step 2: Convert to fraction form
    12,636.95/17,439.09 = 6,971.90/x
  3. Step 3: Cross multiply
    12,636.95x = 17,439.09 × 6,971.90
  4. Step 4: Simplify right side
    12,636.95x = 121,583,591.57
  5. Step 5: Solve for x
    x = 121,583,591.57/12,636.95
  6. Step 6: Final answer
    x = 9,621.28

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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.