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Finding the Fourth Proportional to 11,847.60, 17,749.80 and 9,644.40

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Solution

The fourth proportional to 11,847.60, 17,749.80 and 9,644.40 is: 14,449.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.60 : 17,749.80 = 9,644.40 : x
  2. Step 2: Convert to fraction form
    11,847.60/17,749.80 = 9,644.40/x
  3. Step 3: Cross multiply
    11,847.60x = 17,749.80 × 9,644.40
  4. Step 4: Simplify right side
    11,847.60x = 171,186,171.12
  5. Step 5: Solve for x
    x = 171,186,171.12/11,847.60
  6. Step 6: Final answer
    x = 14,449.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.