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Finding the Fourth Proportional to 11,799.60, 17,701.82 and 9,865.32

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Solution

The fourth proportional to 11,799.60, 17,701.82 and 9,865.32 is: 14,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.60 : 17,701.82 = 9,865.32 : x
  2. Step 2: Convert to fraction form
    11,799.60/17,701.82 = 9,865.32/x
  3. Step 3: Cross multiply
    11,799.60x = 17,701.82 × 9,865.32
  4. Step 4: Simplify right side
    11,799.60x = 174,634,118.88
  5. Step 5: Solve for x
    x = 174,634,118.88/11,799.60
  6. Step 6: Final answer
    x = 14,800.00

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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.