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Finding the Fourth Proportional to 18,287.10, 27,431.70 and 5,140.50

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Solution

The fourth proportional to 18,287.10, 27,431.70 and 5,140.50 is: 7,711.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.10 : 27,431.70 = 5,140.50 : x
  2. Step 2: Convert to fraction form
    18,287.10/27,431.70 = 5,140.50/x
  3. Step 3: Cross multiply
    18,287.10x = 27,431.70 × 5,140.50
  4. Step 4: Simplify right side
    18,287.10x = 141,012,653.85
  5. Step 5: Solve for x
    x = 141,012,653.85/18,287.10
  6. Step 6: Final answer
    x = 7,711.05

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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.