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Finding the Fourth Proportional to 19,659.20, 27,164.24 and 15,712.88

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Solution

The fourth proportional to 19,659.20, 27,164.24 and 15,712.88 is: 21,711.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,659.20 : 27,164.24 = 15,712.88 : x
  2. Step 2: Convert to fraction form
    19,659.20/27,164.24 = 15,712.88/x
  3. Step 3: Cross multiply
    19,659.20x = 27,164.24 × 15,712.88
  4. Step 4: Simplify right side
    19,659.20x = 426,828,443.41
  5. Step 5: Solve for x
    x = 426,828,443.41/19,659.20
  6. Step 6: Final answer
    x = 21,711.38

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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.