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Finding the Fourth Proportional to 14,453.17, 21,659.38 and 6,846.37

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Solution

The fourth proportional to 14,453.17, 21,659.38 and 6,846.37 is: 10,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,453.17 : 21,659.38 = 6,846.37 : x
  2. Step 2: Convert to fraction form
    14,453.17/21,659.38 = 6,846.37/x
  3. Step 3: Cross multiply
    14,453.17x = 21,659.38 × 6,846.37
  4. Step 4: Simplify right side
    14,453.17x = 148,288,058.19
  5. Step 5: Solve for x
    x = 148,288,058.19/14,453.17
  6. Step 6: Final answer
    x = 10,259.90

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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.