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Finding the Fourth Proportional to 21,549.84, 32,323.82 and 6,758.42

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Solution

The fourth proportional to 21,549.84, 32,323.82 and 6,758.42 is: 10,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,549.84 : 32,323.82 = 6,758.42 : x
  2. Step 2: Convert to fraction form
    21,549.84/32,323.82 = 6,758.42/x
  3. Step 3: Cross multiply
    21,549.84x = 32,323.82 × 6,758.42
  4. Step 4: Simplify right side
    21,549.84x = 218,457,951.56
  5. Step 5: Solve for x
    x = 218,457,951.56/21,549.84
  6. Step 6: Final answer
    x = 10,137.34

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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.