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Finding the Fourth Proportional to 14,482, 21,737.56 and 9,786.96

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Solution

The fourth proportional to 14,482, 21,737.56 and 9,786.96 is: 14,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,482 : 21,737.56 = 9,786.96 : x
  2. Step 2: Convert to fraction form
    14,482/21,737.56 = 9,786.96/x
  3. Step 3: Cross multiply
    14,482x = 21,737.56 × 9,786.96
  4. Step 4: Simplify right side
    14,482x = 212,744,630.22
  5. Step 5: Solve for x
    x = 212,744,630.22/14,482
  6. Step 6: Final answer
    x = 14,690.28

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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.