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Finding the Fourth Proportional to 16,477.80, 24,716.82 and 13,186.68

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Solution

The fourth proportional to 16,477.80, 24,716.82 and 13,186.68 is: 19,780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.80 : 24,716.82 = 13,186.68 : x
  2. Step 2: Convert to fraction form
    16,477.80/24,716.82 = 13,186.68/x
  3. Step 3: Cross multiply
    16,477.80x = 24,716.82 × 13,186.68
  4. Step 4: Simplify right side
    16,477.80x = 325,932,795.96
  5. Step 5: Solve for x
    x = 325,932,795.96/16,477.80
  6. Step 6: Final answer
    x = 19,780.12

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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.