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Finding the Fourth Proportional to 27,193.90, 40,782.96 and 11,398.51

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Solution

The fourth proportional to 27,193.90, 40,782.96 and 11,398.51 is: 17,094.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.90 : 40,782.96 = 11,398.51 : x
  2. Step 2: Convert to fraction form
    27,193.90/40,782.96 = 11,398.51/x
  3. Step 3: Cross multiply
    27,193.90x = 40,782.96 × 11,398.51
  4. Step 4: Simplify right side
    27,193.90x = 464,864,977.39
  5. Step 5: Solve for x
    x = 464,864,977.39/27,193.90
  6. Step 6: Final answer
    x = 17,094.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.