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Finding the Fourth Proportional to 14,563.20, 21,845.76 and 5,328

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Solution

The fourth proportional to 14,563.20, 21,845.76 and 5,328 is: 7,992.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,563.20 : 21,845.76 = 5,328 : x
  2. Step 2: Convert to fraction form
    14,563.20/21,845.76 = 5,328/x
  3. Step 3: Cross multiply
    14,563.20x = 21,845.76 × 5,328
  4. Step 4: Simplify right side
    14,563.20x = 116,394,209.28
  5. Step 5: Solve for x
    x = 116,394,209.28/14,563.20
  6. Step 6: Final answer
    x = 7,992.35

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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.