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Finding the Fourth Proportional to 14,104.92, 21,156.54 and 6,311.64

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Solution

The fourth proportional to 14,104.92, 21,156.54 and 6,311.64 is: 9,467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.92 : 21,156.54 = 6,311.64 : x
  2. Step 2: Convert to fraction form
    14,104.92/21,156.54 = 6,311.64/x
  3. Step 3: Cross multiply
    14,104.92x = 21,156.54 × 6,311.64
  4. Step 4: Simplify right side
    14,104.92x = 133,532,464.13
  5. Step 5: Solve for x
    x = 133,532,464.13/14,104.92
  6. Step 6: Final answer
    x = 9,467.08

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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.