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Finding the Fourth Proportional to 18,143.25, 27,225.27 and 7,048.50

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Solution

The fourth proportional to 18,143.25, 27,225.27 and 7,048.50 is: 10,576.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,143.25 : 27,225.27 = 7,048.50 : x
  2. Step 2: Convert to fraction form
    18,143.25/27,225.27 = 7,048.50/x
  3. Step 3: Cross multiply
    18,143.25x = 27,225.27 × 7,048.50
  4. Step 4: Simplify right side
    18,143.25x = 191,897,315.60
  5. Step 5: Solve for x
    x = 191,897,315.60/18,143.25
  6. Step 6: Final answer
    x = 10,576.79

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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.