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Finding the Fourth Proportional to 14,534.82, 20,054.94 and 8,564.28

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Solution

The fourth proportional to 14,534.82, 20,054.94 and 8,564.28 is: 11,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,534.82 : 20,054.94 = 8,564.28 : x
  2. Step 2: Convert to fraction form
    14,534.82/20,054.94 = 8,564.28/x
  3. Step 3: Cross multiply
    14,534.82x = 20,054.94 × 8,564.28
  4. Step 4: Simplify right side
    14,534.82x = 171,756,121.54
  5. Step 5: Solve for x
    x = 171,756,121.54/14,534.82
  6. Step 6: Final answer
    x = 11,816.87

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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.