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Finding the Fourth Proportional to 27,937.90, 41,871.21 and 13,114.09

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Solution

The fourth proportional to 27,937.90, 41,871.21 and 13,114.09 is: 19,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.90 : 41,871.21 = 13,114.09 : x
  2. Step 2: Convert to fraction form
    27,937.90/41,871.21 = 13,114.09/x
  3. Step 3: Cross multiply
    27,937.90x = 41,871.21 × 13,114.09
  4. Step 4: Simplify right side
    27,937.90x = 549,102,816.35
  5. Step 5: Solve for x
    x = 549,102,816.35/27,937.90
  6. Step 6: Final answer
    x = 19,654.41

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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.