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Finding the Fourth Proportional to 17,509.81, 24,164.21 and 9,956.82

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Solution

The fourth proportional to 17,509.81, 24,164.21 and 9,956.82 is: 13,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.81 : 24,164.21 = 9,956.82 : x
  2. Step 2: Convert to fraction form
    17,509.81/24,164.21 = 9,956.82/x
  3. Step 3: Cross multiply
    17,509.81x = 24,164.21 × 9,956.82
  4. Step 4: Simplify right side
    17,509.81x = 240,598,790.92
  5. Step 5: Solve for x
    x = 240,598,790.92/17,509.81
  6. Step 6: Final answer
    x = 13,740.80

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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.