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Finding the Fourth Proportional to 14,123.67, 21,190.37 and 6,337.95

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Solution

The fourth proportional to 14,123.67, 21,190.37 and 6,337.95 is: 9,509.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,123.67 : 21,190.37 = 6,337.95 : x
  2. Step 2: Convert to fraction form
    14,123.67/21,190.37 = 6,337.95/x
  3. Step 3: Cross multiply
    14,123.67x = 21,190.37 × 6,337.95
  4. Step 4: Simplify right side
    14,123.67x = 134,303,473.85
  5. Step 5: Solve for x
    x = 134,303,473.85/14,123.67
  6. Step 6: Final answer
    x = 9,509.11

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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.