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Finding the Fourth Proportional to 21,715.98, 32,628.42 and 13,821.90

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Solution

The fourth proportional to 21,715.98, 32,628.42 and 13,821.90 is: 20,767.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.98 : 32,628.42 = 13,821.90 : x
  2. Step 2: Convert to fraction form
    21,715.98/32,628.42 = 13,821.90/x
  3. Step 3: Cross multiply
    21,715.98x = 32,628.42 × 13,821.90
  4. Step 4: Simplify right side
    21,715.98x = 450,986,758.40
  5. Step 5: Solve for x
    x = 450,986,758.40/21,715.98
  6. Step 6: Final answer
    x = 20,767.51

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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.