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Finding the Fourth Proportional to 18,313.50, 27,475.71 and 12,986.94

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Solution

The fourth proportional to 18,313.50, 27,475.71 and 12,986.94 is: 19,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,313.50 : 27,475.71 = 12,986.94 : x
  2. Step 2: Convert to fraction form
    18,313.50/27,475.71 = 12,986.94/x
  3. Step 3: Cross multiply
    18,313.50x = 27,475.71 × 12,986.94
  4. Step 4: Simplify right side
    18,313.50x = 356,825,397.23
  5. Step 5: Solve for x
    x = 356,825,397.23/18,313.50
  6. Step 6: Final answer
    x = 19,484.28

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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.