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Finding the Fourth Proportional to 13,219.29, 18,242.73 and 7,250.91

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Solution

The fourth proportional to 13,219.29, 18,242.73 and 7,250.91 is: 10,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,219.29 : 18,242.73 = 7,250.91 : x
  2. Step 2: Convert to fraction form
    13,219.29/18,242.73 = 7,250.91/x
  3. Step 3: Cross multiply
    13,219.29x = 18,242.73 × 7,250.91
  4. Step 4: Simplify right side
    13,219.29x = 132,276,393.38
  5. Step 5: Solve for x
    x = 132,276,393.38/13,219.29
  6. Step 6: Final answer
    x = 10,006.32

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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.