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Finding the Fourth Proportional to 21,974.60, 30,326.82 and 12,416.24

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Solution

The fourth proportional to 21,974.60, 30,326.82 and 12,416.24 is: 17,135.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,974.60 : 30,326.82 = 12,416.24 : x
  2. Step 2: Convert to fraction form
    21,974.60/30,326.82 = 12,416.24/x
  3. Step 3: Cross multiply
    21,974.60x = 30,326.82 × 12,416.24
  4. Step 4: Simplify right side
    21,974.60x = 376,545,075.56
  5. Step 5: Solve for x
    x = 376,545,075.56/21,974.60
  6. Step 6: Final answer
    x = 17,135.47

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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.