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Finding the Fourth Proportional to 14,280.51, 19,706.36 and 7,819.97

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Solution

The fourth proportional to 14,280.51, 19,706.36 and 7,819.97 is: 10,791.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,280.51 : 19,706.36 = 7,819.97 : x
  2. Step 2: Convert to fraction form
    14,280.51/19,706.36 = 7,819.97/x
  3. Step 3: Cross multiply
    14,280.51x = 19,706.36 × 7,819.97
  4. Step 4: Simplify right side
    14,280.51x = 154,103,006.38
  5. Step 5: Solve for x
    x = 154,103,006.38/14,280.51
  6. Step 6: Final answer
    x = 10,791.14

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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.