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Finding the Fourth Proportional to 14,186.85, 21,271.14 and 6,791.13

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Solution

The fourth proportional to 14,186.85, 21,271.14 and 6,791.13 is: 10,182.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.85 : 21,271.14 = 6,791.13 : x
  2. Step 2: Convert to fraction form
    14,186.85/21,271.14 = 6,791.13/x
  3. Step 3: Cross multiply
    14,186.85x = 21,271.14 × 6,791.13
  4. Step 4: Simplify right side
    14,186.85x = 144,455,076.99
  5. Step 5: Solve for x
    x = 144,455,076.99/14,186.85
  6. Step 6: Final answer
    x = 10,182.32

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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.