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Finding the Fourth Proportional to 19,846.98, 27,388.38 and 12,773.40

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Solution

The fourth proportional to 19,846.98, 27,388.38 and 12,773.40 is: 17,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,846.98 : 27,388.38 = 12,773.40 : x
  2. Step 2: Convert to fraction form
    19,846.98/27,388.38 = 12,773.40/x
  3. Step 3: Cross multiply
    19,846.98x = 27,388.38 × 12,773.40
  4. Step 4: Simplify right side
    19,846.98x = 349,842,733.09
  5. Step 5: Solve for x
    x = 349,842,733.09/19,846.98
  6. Step 6: Final answer
    x = 17,627.00

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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.