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Finding the Fourth Proportional to 14,166.14, 19,548.89 and 7,792.71

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Solution

The fourth proportional to 14,166.14, 19,548.89 and 7,792.71 is: 10,753.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,166.14 : 19,548.89 = 7,792.71 : x
  2. Step 2: Convert to fraction form
    14,166.14/19,548.89 = 7,792.71/x
  3. Step 3: Cross multiply
    14,166.14x = 19,548.89 × 7,792.71
  4. Step 4: Simplify right side
    14,166.14x = 152,338,791.38
  5. Step 5: Solve for x
    x = 152,338,791.38/14,166.14
  6. Step 6: Final answer
    x = 10,753.73

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Why These Related Problems?

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