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Finding the Fourth Proportional to 12,165.24, 18,235.14 and 6,893.64

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Solution

The fourth proportional to 12,165.24, 18,235.14 and 6,893.64 is: 10,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.24 : 18,235.14 = 6,893.64 : x
  2. Step 2: Convert to fraction form
    12,165.24/18,235.14 = 6,893.64/x
  3. Step 3: Cross multiply
    12,165.24x = 18,235.14 × 6,893.64
  4. Step 4: Simplify right side
    12,165.24x = 125,706,490.51
  5. Step 5: Solve for x
    x = 125,706,490.51/12,165.24
  6. Step 6: Final answer
    x = 10,333.25

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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.