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Finding the Fourth Proportional to 21,574.91, 29,758.04 and 14,401.21

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Solution

The fourth proportional to 21,574.91, 29,758.04 and 14,401.21 is: 19,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.91 : 29,758.04 = 14,401.21 : x
  2. Step 2: Convert to fraction form
    21,574.91/29,758.04 = 14,401.21/x
  3. Step 3: Cross multiply
    21,574.91x = 29,758.04 × 14,401.21
  4. Step 4: Simplify right side
    21,574.91x = 428,551,562.43
  5. Step 5: Solve for x
    x = 428,551,562.43/21,574.91
  6. Step 6: Final answer
    x = 19,863.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.