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Finding the Fourth Proportional to 12,695.31, 17,537.78 and 10,139.71

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Solution

The fourth proportional to 12,695.31, 17,537.78 and 10,139.71 is: 14,007.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,695.31 : 17,537.78 = 10,139.71 : x
  2. Step 2: Convert to fraction form
    12,695.31/17,537.78 = 10,139.71/x
  3. Step 3: Cross multiply
    12,695.31x = 17,537.78 × 10,139.71
  4. Step 4: Simplify right side
    12,695.31x = 177,828,003.24
  5. Step 5: Solve for x
    x = 177,828,003.24/12,695.31
  6. Step 6: Final answer
    x = 14,007.38

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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.