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Finding the Fourth Proportional to 20,787.84, 31,184.82 and 7,639.19

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Solution

The fourth proportional to 20,787.84, 31,184.82 and 7,639.19 is: 11,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,787.84 : 31,184.82 = 7,639.19 : x
  2. Step 2: Convert to fraction form
    20,787.84/31,184.82 = 7,639.19/x
  3. Step 3: Cross multiply
    20,787.84x = 31,184.82 × 7,639.19
  4. Step 4: Simplify right side
    20,787.84x = 238,226,609.17
  5. Step 5: Solve for x
    x = 238,226,609.17/20,787.84
  6. Step 6: Final answer
    x = 11,459.90

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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.