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Finding the Fourth Proportional to 14,658.50, 20,228.73 and 8,370.88

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Solution

The fourth proportional to 14,658.50, 20,228.73 and 8,370.88 is: 11,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.50 : 20,228.73 = 8,370.88 : x
  2. Step 2: Convert to fraction form
    14,658.50/20,228.73 = 8,370.88/x
  3. Step 3: Cross multiply
    14,658.50x = 20,228.73 × 8,370.88
  4. Step 4: Simplify right side
    14,658.50x = 169,332,271.38
  5. Step 5: Solve for x
    x = 169,332,271.38/14,658.50
  6. Step 6: Final answer
    x = 11,551.81

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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.