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Finding the Fourth Proportional to 20,985.84, 31,478.82 and 8,506.08

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Solution

The fourth proportional to 20,985.84, 31,478.82 and 8,506.08 is: 12,759.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,985.84 : 31,478.82 = 8,506.08 : x
  2. Step 2: Convert to fraction form
    20,985.84/31,478.82 = 8,506.08/x
  3. Step 3: Cross multiply
    20,985.84x = 31,478.82 × 8,506.08
  4. Step 4: Simplify right side
    20,985.84x = 267,761,361.23
  5. Step 5: Solve for x
    x = 267,761,361.23/20,985.84
  6. Step 6: Final answer
    x = 12,759.14

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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.