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Finding the Fourth Proportional to 13,584.16, 18,754.32 and 8,876.32

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Solution

The fourth proportional to 13,584.16, 18,754.32 and 8,876.32 is: 12,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,584.16 : 18,754.32 = 8,876.32 : x
  2. Step 2: Convert to fraction form
    13,584.16/18,754.32 = 8,876.32/x
  3. Step 3: Cross multiply
    13,584.16x = 18,754.32 × 8,876.32
  4. Step 4: Simplify right side
    13,584.16x = 166,469,345.70
  5. Step 5: Solve for x
    x = 166,469,345.70/13,584.16
  6. Step 6: Final answer
    x = 12,254.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.