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Finding the Fourth Proportional to 18,554.64, 27,832 and 4,704.72

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Solution

The fourth proportional to 18,554.64, 27,832 and 4,704.72 is: 7,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,554.64 : 27,832 = 4,704.72 : x
  2. Step 2: Convert to fraction form
    18,554.64/27,832 = 4,704.72/x
  3. Step 3: Cross multiply
    18,554.64x = 27,832 × 4,704.72
  4. Step 4: Simplify right side
    18,554.64x = 130,941,767.04
  5. Step 5: Solve for x
    x = 130,941,767.04/18,554.64
  6. Step 6: Final answer
    x = 7,057.09

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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.