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Finding the Fourth Proportional to 18,538.16, 27,814.08 and 8,680.64

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Solution

The fourth proportional to 18,538.16, 27,814.08 and 8,680.64 is: 13,024.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.16 : 27,814.08 = 8,680.64 : x
  2. Step 2: Convert to fraction form
    18,538.16/27,814.08 = 8,680.64/x
  3. Step 3: Cross multiply
    18,538.16x = 27,814.08 × 8,680.64
  4. Step 4: Simplify right side
    18,538.16x = 241,444,015.41
  5. Step 5: Solve for x
    x = 241,444,015.41/18,538.16
  6. Step 6: Final answer
    x = 13,024.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.