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Finding the Fourth Proportional to 14,640.96, 21,963.54 and 4,777.80

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Solution

The fourth proportional to 14,640.96, 21,963.54 and 4,777.80 is: 7,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,640.96 : 21,963.54 = 4,777.80 : x
  2. Step 2: Convert to fraction form
    14,640.96/21,963.54 = 4,777.80/x
  3. Step 3: Cross multiply
    14,640.96x = 21,963.54 × 4,777.80
  4. Step 4: Simplify right side
    14,640.96x = 104,937,401.41
  5. Step 5: Solve for x
    x = 104,937,401.41/14,640.96
  6. Step 6: Final answer
    x = 7,167.39

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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.