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Finding the Fourth Proportional to 14,141.80, 19,516.23 and 7,768.93

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Solution

The fourth proportional to 14,141.80, 19,516.23 and 7,768.93 is: 10,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,141.80 : 19,516.23 = 7,768.93 : x
  2. Step 2: Convert to fraction form
    14,141.80/19,516.23 = 7,768.93/x
  3. Step 3: Cross multiply
    14,141.80x = 19,516.23 × 7,768.93
  4. Step 4: Simplify right side
    14,141.80x = 151,620,224.73
  5. Step 5: Solve for x
    x = 151,620,224.73/14,141.80
  6. Step 6: Final answer
    x = 10,721.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.