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Finding the Fourth Proportional to 14,494.80, 21,703.26 and 9,201.14

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Solution

The fourth proportional to 14,494.80, 21,703.26 and 9,201.14 is: 13,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.80 : 21,703.26 = 9,201.14 : x
  2. Step 2: Convert to fraction form
    14,494.80/21,703.26 = 9,201.14/x
  3. Step 3: Cross multiply
    14,494.80x = 21,703.26 × 9,201.14
  4. Step 4: Simplify right side
    14,494.80x = 199,694,733.72
  5. Step 5: Solve for x
    x = 199,694,733.72/14,494.80
  6. Step 6: Final answer
    x = 13,776.99

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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.