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Finding the Fourth Proportional to 17,923.36, 24,731.89 and 9,964

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Solution

The fourth proportional to 17,923.36, 24,731.89 and 9,964 is: 13,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,923.36 : 24,731.89 = 9,964 : x
  2. Step 2: Convert to fraction form
    17,923.36/24,731.89 = 9,964/x
  3. Step 3: Cross multiply
    17,923.36x = 24,731.89 × 9,964
  4. Step 4: Simplify right side
    17,923.36x = 246,428,551.96
  5. Step 5: Solve for x
    x = 246,428,551.96/17,923.36
  6. Step 6: Final answer
    x = 13,749.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.