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Finding the Fourth Proportional to 14,137.65, 21,197.77 and 4,776.78

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Solution

The fourth proportional to 14,137.65, 21,197.77 and 4,776.78 is: 7,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.65 : 21,197.77 = 4,776.78 : x
  2. Step 2: Convert to fraction form
    14,137.65/21,197.77 = 4,776.78/x
  3. Step 3: Cross multiply
    14,137.65x = 21,197.77 × 4,776.78
  4. Step 4: Simplify right side
    14,137.65x = 101,257,151.33
  5. Step 5: Solve for x
    x = 101,257,151.33/14,137.65
  6. Step 6: Final answer
    x = 7,162.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.