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Finding the Fourth Proportional to 11,857.20, 17,785.80 and 9,783.60

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Solution

The fourth proportional to 11,857.20, 17,785.80 and 9,783.60 is: 14,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,857.20 : 17,785.80 = 9,783.60 : x
  2. Step 2: Convert to fraction form
    11,857.20/17,785.80 = 9,783.60/x
  3. Step 3: Cross multiply
    11,857.20x = 17,785.80 × 9,783.60
  4. Step 4: Simplify right side
    11,857.20x = 174,009,152.88
  5. Step 5: Solve for x
    x = 174,009,152.88/11,857.20
  6. Step 6: Final answer
    x = 14,675.40

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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.