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Finding the Fourth Proportional to 13,920.84, 20,872.62 and 6,522.12

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Solution

The fourth proportional to 13,920.84, 20,872.62 and 6,522.12 is: 9,779.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.84 : 20,872.62 = 6,522.12 : x
  2. Step 2: Convert to fraction form
    13,920.84/20,872.62 = 6,522.12/x
  3. Step 3: Cross multiply
    13,920.84x = 20,872.62 × 6,522.12
  4. Step 4: Simplify right side
    13,920.84x = 136,133,732.35
  5. Step 5: Solve for x
    x = 136,133,732.35/13,920.84
  6. Step 6: Final answer
    x = 9,779.13

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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.