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Finding the Fourth Proportional to 12,023.64, 17,991.72 and 9,924.12

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Solution

The fourth proportional to 12,023.64, 17,991.72 and 9,924.12 is: 14,850.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,023.64 : 17,991.72 = 9,924.12 : x
  2. Step 2: Convert to fraction form
    12,023.64/17,991.72 = 9,924.12/x
  3. Step 3: Cross multiply
    12,023.64x = 17,991.72 × 9,924.12
  4. Step 4: Simplify right side
    12,023.64x = 178,551,988.29
  5. Step 5: Solve for x
    x = 178,551,988.29/12,023.64
  6. Step 6: Final answer
    x = 14,850.08

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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.