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Finding the Fourth Proportional to 20,541.38, 28,347.52 and 12,050

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Solution

The fourth proportional to 20,541.38, 28,347.52 and 12,050 is: 16,629.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.38 : 28,347.52 = 12,050 : x
  2. Step 2: Convert to fraction form
    20,541.38/28,347.52 = 12,050/x
  3. Step 3: Cross multiply
    20,541.38x = 28,347.52 × 12,050
  4. Step 4: Simplify right side
    20,541.38x = 341,587,616
  5. Step 5: Solve for x
    x = 341,587,616/20,541.38
  6. Step 6: Final answer
    x = 16,629.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.