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Finding the Fourth Proportional to 20,409.28, 30,578.28 and 14,535.16

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Solution

The fourth proportional to 20,409.28, 30,578.28 and 14,535.16 is: 21,777.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,409.28 : 30,578.28 = 14,535.16 : x
  2. Step 2: Convert to fraction form
    20,409.28/30,578.28 = 14,535.16/x
  3. Step 3: Cross multiply
    20,409.28x = 30,578.28 × 14,535.16
  4. Step 4: Simplify right side
    20,409.28x = 444,460,192.32
  5. Step 5: Solve for x
    x = 444,460,192.32/20,409.28
  6. Step 6: Final answer
    x = 21,777.36

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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.