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Finding the Fourth Proportional to 19,498.49, 26,907.82 and 10,546

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Solution

The fourth proportional to 19,498.49, 26,907.82 and 10,546 is: 14,553.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,498.49 : 26,907.82 = 10,546 : x
  2. Step 2: Convert to fraction form
    19,498.49/26,907.82 = 10,546/x
  3. Step 3: Cross multiply
    19,498.49x = 26,907.82 × 10,546
  4. Step 4: Simplify right side
    19,498.49x = 283,769,869.72
  5. Step 5: Solve for x
    x = 283,769,869.72/19,498.49
  6. Step 6: Final answer
    x = 14,553.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.