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Finding the Fourth Proportional to 14,693.89, 20,277.28 and 8,320

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Solution

The fourth proportional to 14,693.89, 20,277.28 and 8,320 is: 11,481.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,693.89 : 20,277.28 = 8,320 : x
  2. Step 2: Convert to fraction form
    14,693.89/20,277.28 = 8,320/x
  3. Step 3: Cross multiply
    14,693.89x = 20,277.28 × 8,320
  4. Step 4: Simplify right side
    14,693.89x = 168,706,969.60
  5. Step 5: Solve for x
    x = 168,706,969.60/14,693.89
  6. Step 6: Final answer
    x = 11,481.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.