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Finding the Fourth Proportional to 19,899, 27,460.62 and 11,515.50

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Solution

The fourth proportional to 19,899, 27,460.62 and 11,515.50 is: 15,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,899 : 27,460.62 = 11,515.50 : x
  2. Step 2: Convert to fraction form
    19,899/27,460.62 = 11,515.50/x
  3. Step 3: Cross multiply
    19,899x = 27,460.62 × 11,515.50
  4. Step 4: Simplify right side
    19,899x = 316,222,769.61
  5. Step 5: Solve for x
    x = 316,222,769.61/19,899
  6. Step 6: Final answer
    x = 15,891.39

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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.