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Finding the Fourth Proportional to 27,270.53, 40,903.63 and 9,738.53

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Solution

The fourth proportional to 27,270.53, 40,903.63 and 9,738.53 is: 14,607.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,270.53 : 40,903.63 = 9,738.53 : x
  2. Step 2: Convert to fraction form
    27,270.53/40,903.63 = 9,738.53/x
  3. Step 3: Cross multiply
    27,270.53x = 40,903.63 × 9,738.53
  4. Step 4: Simplify right side
    27,270.53x = 398,340,974.65
  5. Step 5: Solve for x
    x = 398,340,974.65/27,270.53
  6. Step 6: Final answer
    x = 14,607.02

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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.