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Finding the Fourth Proportional to 14,768.38, 20,380.74 and 9,106.86

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Solution

The fourth proportional to 14,768.38, 20,380.74 and 9,106.86 is: 12,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.38 : 20,380.74 = 9,106.86 : x
  2. Step 2: Convert to fraction form
    14,768.38/20,380.74 = 9,106.86/x
  3. Step 3: Cross multiply
    14,768.38x = 20,380.74 × 9,106.86
  4. Step 4: Simplify right side
    14,768.38x = 185,604,545.88
  5. Step 5: Solve for x
    x = 185,604,545.88/14,768.38
  6. Step 6: Final answer
    x = 12,567.70

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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.