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Finding the Fourth Proportional to 12,149.16, 18,222.40 and 3,265.24

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Solution

The fourth proportional to 12,149.16, 18,222.40 and 3,265.24 is: 4,897.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.16 : 18,222.40 = 3,265.24 : x
  2. Step 2: Convert to fraction form
    12,149.16/18,222.40 = 3,265.24/x
  3. Step 3: Cross multiply
    12,149.16x = 18,222.40 × 3,265.24
  4. Step 4: Simplify right side
    12,149.16x = 59,500,509.38
  5. Step 5: Solve for x
    x = 59,500,509.38/12,149.16
  6. Step 6: Final answer
    x = 4,897.50

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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.