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Finding the Fourth Proportional to 21,426, 29,568 and 13,974

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Solution

The fourth proportional to 21,426, 29,568 and 13,974 is: 19,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,426 : 29,568 = 13,974 : x
  2. Step 2: Convert to fraction form
    21,426/29,568 = 13,974/x
  3. Step 3: Cross multiply
    21,426x = 29,568 × 13,974
  4. Step 4: Simplify right side
    21,426x = 413,183,232
  5. Step 5: Solve for x
    x = 413,183,232/21,426
  6. Step 6: Final answer
    x = 19,284.20

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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.