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Finding the Fourth Proportional to 11,913.20, 17,869.80 and 9,983.60

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Solution

The fourth proportional to 11,913.20, 17,869.80 and 9,983.60 is: 14,975.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.20 : 17,869.80 = 9,983.60 : x
  2. Step 2: Convert to fraction form
    11,913.20/17,869.80 = 9,983.60/x
  3. Step 3: Cross multiply
    11,913.20x = 17,869.80 × 9,983.60
  4. Step 4: Simplify right side
    11,913.20x = 178,404,935.28
  5. Step 5: Solve for x
    x = 178,404,935.28/11,913.20
  6. Step 6: Final answer
    x = 14,975.40

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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.