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Finding the Fourth Proportional to 12,137.50, 18,174.93 and 7,210.54

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Solution

The fourth proportional to 12,137.50, 18,174.93 and 7,210.54 is: 10,797.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137.50 : 18,174.93 = 7,210.54 : x
  2. Step 2: Convert to fraction form
    12,137.50/18,174.93 = 7,210.54/x
  3. Step 3: Cross multiply
    12,137.50x = 18,174.93 × 7,210.54
  4. Step 4: Simplify right side
    12,137.50x = 131,051,059.76
  5. Step 5: Solve for x
    x = 131,051,059.76/12,137.50
  6. Step 6: Final answer
    x = 10,797.20

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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.