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Finding the Fourth Proportional to 14,471.97, 21,707.29 and 6,034.99

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Solution

The fourth proportional to 14,471.97, 21,707.29 and 6,034.99 is: 9,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,471.97 : 21,707.29 = 6,034.99 : x
  2. Step 2: Convert to fraction form
    14,471.97/21,707.29 = 6,034.99/x
  3. Step 3: Cross multiply
    14,471.97x = 21,707.29 × 6,034.99
  4. Step 4: Simplify right side
    14,471.97x = 131,003,139.37
  5. Step 5: Solve for x
    x = 131,003,139.37/14,471.97
  6. Step 6: Final answer
    x = 9,052.20

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Why These Related Problems?

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