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Finding the Fourth Proportional to 19,676.47, 27,152.74 and 10,723.78

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Solution

The fourth proportional to 19,676.47, 27,152.74 and 10,723.78 is: 14,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,676.47 : 27,152.74 = 10,723.78 : x
  2. Step 2: Convert to fraction form
    19,676.47/27,152.74 = 10,723.78/x
  3. Step 3: Cross multiply
    19,676.47x = 27,152.74 × 10,723.78
  4. Step 4: Simplify right side
    19,676.47x = 291,179,844.45
  5. Step 5: Solve for x
    x = 291,179,844.45/19,676.47
  6. Step 6: Final answer
    x = 14,798.38

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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.