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Finding the Fourth Proportional to 13,560.08, 18,711.72 and 7,970

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Solution

The fourth proportional to 13,560.08, 18,711.72 and 7,970 is: 10,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,560.08 : 18,711.72 = 7,970 : x
  2. Step 2: Convert to fraction form
    13,560.08/18,711.72 = 7,970/x
  3. Step 3: Cross multiply
    13,560.08x = 18,711.72 × 7,970
  4. Step 4: Simplify right side
    13,560.08x = 149,132,408.40
  5. Step 5: Solve for x
    x = 149,132,408.40/13,560.08
  6. Step 6: Final answer
    x = 10,997.90

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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.