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Finding the Fourth Proportional to 14,213.64, 21,322.20 and 7,630.80

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Solution

The fourth proportional to 14,213.64, 21,322.20 and 7,630.80 is: 11,447.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.64 : 21,322.20 = 7,630.80 : x
  2. Step 2: Convert to fraction form
    14,213.64/21,322.20 = 7,630.80/x
  3. Step 3: Cross multiply
    14,213.64x = 21,322.20 × 7,630.80
  4. Step 4: Simplify right side
    14,213.64x = 162,705,443.76
  5. Step 5: Solve for x
    x = 162,705,443.76/14,213.64
  6. Step 6: Final answer
    x = 11,447.13

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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.