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Finding the Fourth Proportional to 27,993.52, 42,004.86 and 12,407.50

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Solution

The fourth proportional to 27,993.52, 42,004.86 and 12,407.50 is: 18,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993.52 : 42,004.86 = 12,407.50 : x
  2. Step 2: Convert to fraction form
    27,993.52/42,004.86 = 12,407.50/x
  3. Step 3: Cross multiply
    27,993.52x = 42,004.86 × 12,407.50
  4. Step 4: Simplify right side
    27,993.52x = 521,175,300.45
  5. Step 5: Solve for x
    x = 521,175,300.45/27,993.52
  6. Step 6: Final answer
    x = 18,617.71

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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.