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Finding the Fourth Proportional to 16,485.32, 24,731.22 and 6,097.16

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Solution

The fourth proportional to 16,485.32, 24,731.22 and 6,097.16 is: 9,146.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,485.32 : 24,731.22 = 6,097.16 : x
  2. Step 2: Convert to fraction form
    16,485.32/24,731.22 = 6,097.16/x
  3. Step 3: Cross multiply
    16,485.32x = 24,731.22 × 6,097.16
  4. Step 4: Simplify right side
    16,485.32x = 150,790,205.34
  5. Step 5: Solve for x
    x = 150,790,205.34/16,485.32
  6. Step 6: Final answer
    x = 9,146.94

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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.