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Finding the Fourth Proportional to 16,494.14, 24,749.89 and 9,003.06

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Solution

The fourth proportional to 16,494.14, 24,749.89 and 9,003.06 is: 13,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.14 : 24,749.89 = 9,003.06 : x
  2. Step 2: Convert to fraction form
    16,494.14/24,749.89 = 9,003.06/x
  3. Step 3: Cross multiply
    16,494.14x = 24,749.89 × 9,003.06
  4. Step 4: Simplify right side
    16,494.14x = 222,824,722.16
  5. Step 5: Solve for x
    x = 222,824,722.16/16,494.14
  6. Step 6: Final answer
    x = 13,509.32

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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.