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Finding the Fourth Proportional to 11,827.60, 17,725.20 and 9,640.60

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Solution

The fourth proportional to 11,827.60, 17,725.20 and 9,640.60 is: 14,447.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.60 : 17,725.20 = 9,640.60 : x
  2. Step 2: Convert to fraction form
    11,827.60/17,725.20 = 9,640.60/x
  3. Step 3: Cross multiply
    11,827.60x = 17,725.20 × 9,640.60
  4. Step 4: Simplify right side
    11,827.60x = 170,881,563.12
  5. Step 5: Solve for x
    x = 170,881,563.12/11,827.60
  6. Step 6: Final answer
    x = 14,447.70

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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.