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Finding the Fourth Proportional to 16,546.64, 22,837.61 and 9,477.77

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Solution

The fourth proportional to 16,546.64, 22,837.61 and 9,477.77 is: 13,081.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,546.64 : 22,837.61 = 9,477.77 : x
  2. Step 2: Convert to fraction form
    16,546.64/22,837.61 = 9,477.77/x
  3. Step 3: Cross multiply
    16,546.64x = 22,837.61 × 9,477.77
  4. Step 4: Simplify right side
    16,546.64x = 216,449,524.44
  5. Step 5: Solve for x
    x = 216,449,524.44/16,546.64
  6. Step 6: Final answer
    x = 13,081.18

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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.