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Finding the Fourth Proportional to 12,022.50, 18,034.02 and 4,124.99

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Solution

The fourth proportional to 12,022.50, 18,034.02 and 4,124.99 is: 6,187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.50 : 18,034.02 = 4,124.99 : x
  2. Step 2: Convert to fraction form
    12,022.50/18,034.02 = 4,124.99/x
  3. Step 3: Cross multiply
    12,022.50x = 18,034.02 × 4,124.99
  4. Step 4: Simplify right side
    12,022.50x = 74,390,197.24
  5. Step 5: Solve for x
    x = 74,390,197.24/12,022.50
  6. Step 6: Final answer
    x = 6,187.58

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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.