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Finding the Fourth Proportional to 18,538.20, 27,803.76 and 6,059.64

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Solution

The fourth proportional to 18,538.20, 27,803.76 and 6,059.64 is: 9,088.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.20 : 27,803.76 = 6,059.64 : x
  2. Step 2: Convert to fraction form
    18,538.20/27,803.76 = 6,059.64/x
  3. Step 3: Cross multiply
    18,538.20x = 27,803.76 × 6,059.64
  4. Step 4: Simplify right side
    18,538.20x = 168,480,776.25
  5. Step 5: Solve for x
    x = 168,480,776.25/18,538.20
  6. Step 6: Final answer
    x = 9,088.30

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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.