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Finding the Fourth Proportional to 14,423.64, 21,638.09 and 6,632.25

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Solution

The fourth proportional to 14,423.64, 21,638.09 and 6,632.25 is: 9,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.64 : 21,638.09 = 6,632.25 : x
  2. Step 2: Convert to fraction form
    14,423.64/21,638.09 = 6,632.25/x
  3. Step 3: Cross multiply
    14,423.64x = 21,638.09 × 6,632.25
  4. Step 4: Simplify right side
    14,423.64x = 143,509,238.98
  5. Step 5: Solve for x
    x = 143,509,238.98/14,423.64
  6. Step 6: Final answer
    x = 9,949.59

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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.