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Finding the Fourth Proportional to 16,804.80, 23,188.03 and 9,729.86

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Solution

The fourth proportional to 16,804.80, 23,188.03 and 9,729.86 is: 13,425.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,804.80 : 23,188.03 = 9,729.86 : x
  2. Step 2: Convert to fraction form
    16,804.80/23,188.03 = 9,729.86/x
  3. Step 3: Cross multiply
    16,804.80x = 23,188.03 × 9,729.86
  4. Step 4: Simplify right side
    16,804.80x = 225,616,145.31
  5. Step 5: Solve for x
    x = 225,616,145.31/16,804.80
  6. Step 6: Final answer
    x = 13,425.70

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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.