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Finding the Fourth Proportional to 14,661.38, 20,237.38 and 9,370.46

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Solution

The fourth proportional to 14,661.38, 20,237.38 and 9,370.46 is: 12,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.38 : 20,237.38 = 9,370.46 : x
  2. Step 2: Convert to fraction form
    14,661.38/20,237.38 = 9,370.46/x
  3. Step 3: Cross multiply
    14,661.38x = 20,237.38 × 9,370.46
  4. Step 4: Simplify right side
    14,661.38x = 189,633,559.79
  5. Step 5: Solve for x
    x = 189,633,559.79/14,661.38
  6. Step 6: Final answer
    x = 12,934.22

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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.