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Finding the Fourth Proportional to 14,475.13, 21,696.24 and 6,149.95

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Solution

The fourth proportional to 14,475.13, 21,696.24 and 6,149.95 is: 9,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,475.13 : 21,696.24 = 6,149.95 : x
  2. Step 2: Convert to fraction form
    14,475.13/21,696.24 = 6,149.95/x
  3. Step 3: Cross multiply
    14,475.13x = 21,696.24 × 6,149.95
  4. Step 4: Simplify right side
    14,475.13x = 133,430,791.19
  5. Step 5: Solve for x
    x = 133,430,791.19/14,475.13
  6. Step 6: Final answer
    x = 9,217.93

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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.