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Finding the Fourth Proportional to 14,638.10, 21,960.64 and 4,777.39

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Solution

The fourth proportional to 14,638.10, 21,960.64 and 4,777.39 is: 7,167.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,638.10 : 21,960.64 = 4,777.39 : x
  2. Step 2: Convert to fraction form
    14,638.10/21,960.64 = 4,777.39/x
  3. Step 3: Cross multiply
    14,638.10x = 21,960.64 × 4,777.39
  4. Step 4: Simplify right side
    14,638.10x = 104,914,575.35
  5. Step 5: Solve for x
    x = 104,914,575.35/14,638.10
  6. Step 6: Final answer
    x = 7,167.23

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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.