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Finding the Fourth Proportional to 19,686.35, 27,146.54 and 12,963.38

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Solution

The fourth proportional to 19,686.35, 27,146.54 and 12,963.38 is: 17,875.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,686.35 : 27,146.54 = 12,963.38 : x
  2. Step 2: Convert to fraction form
    19,686.35/27,146.54 = 12,963.38/x
  3. Step 3: Cross multiply
    19,686.35x = 27,146.54 × 12,963.38
  4. Step 4: Simplify right side
    19,686.35x = 351,910,713.16
  5. Step 5: Solve for x
    x = 351,910,713.16/19,686.35
  6. Step 6: Final answer
    x = 17,875.88

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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.