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Finding the Fourth Proportional to 14,140.78, 19,511.99 and 8,171.38

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Solution

The fourth proportional to 14,140.78, 19,511.99 and 8,171.38 is: 11,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.78 : 19,511.99 = 8,171.38 : x
  2. Step 2: Convert to fraction form
    14,140.78/19,511.99 = 8,171.38/x
  3. Step 3: Cross multiply
    14,140.78x = 19,511.99 × 8,171.38
  4. Step 4: Simplify right side
    14,140.78x = 159,439,899.02
  5. Step 5: Solve for x
    x = 159,439,899.02/14,140.78
  6. Step 6: Final answer
    x = 11,275.19

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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.