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Finding the Fourth Proportional to 18,313.84, 27,470.76 and 5,834.08

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Solution

The fourth proportional to 18,313.84, 27,470.76 and 5,834.08 is: 8,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,313.84 : 27,470.76 = 5,834.08 : x
  2. Step 2: Convert to fraction form
    18,313.84/27,470.76 = 5,834.08/x
  3. Step 3: Cross multiply
    18,313.84x = 27,470.76 × 5,834.08
  4. Step 4: Simplify right side
    18,313.84x = 160,266,611.50
  5. Step 5: Solve for x
    x = 160,266,611.50/18,313.84
  6. Step 6: Final answer
    x = 8,751.12

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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.