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Finding the Fourth Proportional to 11,960.23, 16,527.87 and 8,970.87

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Solution

The fourth proportional to 11,960.23, 16,527.87 and 8,970.87 is: 12,396.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.23 : 16,527.87 = 8,970.87 : x
  2. Step 2: Convert to fraction form
    11,960.23/16,527.87 = 8,970.87/x
  3. Step 3: Cross multiply
    11,960.23x = 16,527.87 × 8,970.87
  4. Step 4: Simplify right side
    11,960.23x = 148,269,373.15
  5. Step 5: Solve for x
    x = 148,269,373.15/11,960.23
  6. Step 6: Final answer
    x = 12,396.87

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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.