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Finding the Fourth Proportional to 13,972.82, 19,280.87 and 8,004.14

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Solution

The fourth proportional to 13,972.82, 19,280.87 and 8,004.14 is: 11,044.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972.82 : 19,280.87 = 8,004.14 : x
  2. Step 2: Convert to fraction form
    13,972.82/19,280.87 = 8,004.14/x
  3. Step 3: Cross multiply
    13,972.82x = 19,280.87 × 8,004.14
  4. Step 4: Simplify right side
    13,972.82x = 154,326,646.38
  5. Step 5: Solve for x
    x = 154,326,646.38/13,972.82
  6. Step 6: Final answer
    x = 11,044.78

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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.