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Finding the Fourth Proportional to 16,597.85, 24,896.94 and 13,287.14

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Solution

The fourth proportional to 16,597.85, 24,896.94 and 13,287.14 is: 19,930.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,597.85 : 24,896.94 = 13,287.14 : x
  2. Step 2: Convert to fraction form
    16,597.85/24,896.94 = 13,287.14/x
  3. Step 3: Cross multiply
    16,597.85x = 24,896.94 × 13,287.14
  4. Step 4: Simplify right side
    16,597.85x = 330,809,158.51
  5. Step 5: Solve for x
    x = 330,809,158.51/16,597.85
  6. Step 6: Final answer
    x = 19,930.84

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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.