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Finding the Fourth Proportional to 16,318.14, 24,485.58 and 7,998

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Solution

The fourth proportional to 16,318.14, 24,485.58 and 7,998 is: 12,001.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,318.14 : 24,485.58 = 7,998 : x
  2. Step 2: Convert to fraction form
    16,318.14/24,485.58 = 7,998/x
  3. Step 3: Cross multiply
    16,318.14x = 24,485.58 × 7,998
  4. Step 4: Simplify right side
    16,318.14x = 195,835,668.84
  5. Step 5: Solve for x
    x = 195,835,668.84/16,318.14
  6. Step 6: Final answer
    x = 12,001.10

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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.