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Finding the Fourth Proportional to 20,568.86, 28,384.92 and 11,616.32

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Solution

The fourth proportional to 20,568.86, 28,384.92 and 11,616.32 is: 16,030.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,568.86 : 28,384.92 = 11,616.32 : x
  2. Step 2: Convert to fraction form
    20,568.86/28,384.92 = 11,616.32/x
  3. Step 3: Cross multiply
    20,568.86x = 28,384.92 × 11,616.32
  4. Step 4: Simplify right side
    20,568.86x = 329,728,313.89
  5. Step 5: Solve for x
    x = 329,728,313.89/20,568.86
  6. Step 6: Final answer
    x = 16,030.46

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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.