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Finding the Fourth Proportional to 14,644.92, 21,964 and 4,115.76

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Solution

The fourth proportional to 14,644.92, 21,964 and 4,115.76 is: 6,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.92 : 21,964 = 4,115.76 : x
  2. Step 2: Convert to fraction form
    14,644.92/21,964 = 4,115.76/x
  3. Step 3: Cross multiply
    14,644.92x = 21,964 × 4,115.76
  4. Step 4: Simplify right side
    14,644.92x = 90,398,552.64
  5. Step 5: Solve for x
    x = 90,398,552.64/14,644.92
  6. Step 6: Final answer
    x = 6,172.69

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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.