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Finding the Fourth Proportional to 21,226.84, 31,684.43 and 19,663

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Solution

The fourth proportional to 21,226.84, 31,684.43 and 19,663 is: 29,350.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,226.84 : 31,684.43 = 19,663 : x
  2. Step 2: Convert to fraction form
    21,226.84/31,684.43 = 19,663/x
  3. Step 3: Cross multiply
    21,226.84x = 31,684.43 × 19,663
  4. Step 4: Simplify right side
    21,226.84x = 623,010,947.09
  5. Step 5: Solve for x
    x = 623,010,947.09/21,226.84
  6. Step 6: Final answer
    x = 29,350.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.