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Finding the Fourth Proportional to 17,946.94, 24,766.52 and 9,989.16

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Solution

The fourth proportional to 17,946.94, 24,766.52 and 9,989.16 is: 13,784.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,946.94 : 24,766.52 = 9,989.16 : x
  2. Step 2: Convert to fraction form
    17,946.94/24,766.52 = 9,989.16/x
  3. Step 3: Cross multiply
    17,946.94x = 24,766.52 × 9,989.16
  4. Step 4: Simplify right side
    17,946.94x = 247,396,817.81
  5. Step 5: Solve for x
    x = 247,396,817.81/17,946.94
  6. Step 6: Final answer
    x = 13,784.90

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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.