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Finding the Fourth Proportional to 21,597.84, 32,396.76 and 6,808.14

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Solution

The fourth proportional to 21,597.84, 32,396.76 and 6,808.14 is: 10,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,597.84 : 32,396.76 = 6,808.14 : x
  2. Step 2: Convert to fraction form
    21,597.84/32,396.76 = 6,808.14/x
  3. Step 3: Cross multiply
    21,597.84x = 32,396.76 × 6,808.14
  4. Step 4: Simplify right side
    21,597.84x = 220,561,677.63
  5. Step 5: Solve for x
    x = 220,561,677.63/21,597.84
  6. Step 6: Final answer
    x = 10,212.21

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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.