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Finding the Fourth Proportional to 13,224.94, 18,250.38 and 7,256.49

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Solution

The fourth proportional to 13,224.94, 18,250.38 and 7,256.49 is: 10,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,224.94 : 18,250.38 = 7,256.49 : x
  2. Step 2: Convert to fraction form
    13,224.94/18,250.38 = 7,256.49/x
  3. Step 3: Cross multiply
    13,224.94x = 18,250.38 × 7,256.49
  4. Step 4: Simplify right side
    13,224.94x = 132,433,631.53
  5. Step 5: Solve for x
    x = 132,433,631.53/13,224.94
  6. Step 6: Final answer
    x = 10,013.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.