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Finding the Fourth Proportional to 14,499.67, 21,751.67 and 6,709.27

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Solution

The fourth proportional to 14,499.67, 21,751.67 and 6,709.27 is: 10,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,499.67 : 21,751.67 = 6,709.27 : x
  2. Step 2: Convert to fraction form
    14,499.67/21,751.67 = 6,709.27/x
  3. Step 3: Cross multiply
    14,499.67x = 21,751.67 × 6,709.27
  4. Step 4: Simplify right side
    14,499.67x = 145,937,826.98
  5. Step 5: Solve for x
    x = 145,937,826.98/14,499.67
  6. Step 6: Final answer
    x = 10,064.91

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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.