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Finding the Fourth Proportional to 14,708.13, 20,297.71 and 8,657.28

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Solution

The fourth proportional to 14,708.13, 20,297.71 and 8,657.28 is: 11,947.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,708.13 : 20,297.71 = 8,657.28 : x
  2. Step 2: Convert to fraction form
    14,708.13/20,297.71 = 8,657.28/x
  3. Step 3: Cross multiply
    14,708.13x = 20,297.71 × 8,657.28
  4. Step 4: Simplify right side
    14,708.13x = 175,722,857.34
  5. Step 5: Solve for x
    x = 175,722,857.34/14,708.13
  6. Step 6: Final answer
    x = 11,947.33

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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.