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Finding the Fourth Proportional to 14,146.38, 21,224.18 and 6,749.88

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Solution

The fourth proportional to 14,146.38, 21,224.18 and 6,749.88 is: 10,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,146.38 : 21,224.18 = 6,749.88 : x
  2. Step 2: Convert to fraction form
    14,146.38/21,224.18 = 6,749.88/x
  3. Step 3: Cross multiply
    14,146.38x = 21,224.18 × 6,749.88
  4. Step 4: Simplify right side
    14,146.38x = 143,260,686.80
  5. Step 5: Solve for x
    x = 143,260,686.80/14,146.38
  6. Step 6: Final answer
    x = 10,127.02

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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.