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Finding the Fourth Proportional to 14,577.36, 21,866.36 and 5,816.40

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Solution

The fourth proportional to 14,577.36, 21,866.36 and 5,816.40 is: 8,724.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.36 : 21,866.36 = 5,816.40 : x
  2. Step 2: Convert to fraction form
    14,577.36/21,866.36 = 5,816.40/x
  3. Step 3: Cross multiply
    14,577.36x = 21,866.36 × 5,816.40
  4. Step 4: Simplify right side
    14,577.36x = 127,183,496.30
  5. Step 5: Solve for x
    x = 127,183,496.30/14,577.36
  6. Step 6: Final answer
    x = 8,724.73

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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.