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Finding the Fourth Proportional to 14,969.28, 20,657.25 and 8,254.89

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Solution

The fourth proportional to 14,969.28, 20,657.25 and 8,254.89 is: 11,391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,969.28 : 20,657.25 = 8,254.89 : x
  2. Step 2: Convert to fraction form
    14,969.28/20,657.25 = 8,254.89/x
  3. Step 3: Cross multiply
    14,969.28x = 20,657.25 × 8,254.89
  4. Step 4: Simplify right side
    14,969.28x = 170,523,326.45
  5. Step 5: Solve for x
    x = 170,523,326.45/14,969.28
  6. Step 6: Final answer
    x = 11,391.55

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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.