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Finding the Fourth Proportional to 17,467.76, 24,105.57 and 9,509.99

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Solution

The fourth proportional to 17,467.76, 24,105.57 and 9,509.99 is: 13,123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.76 : 24,105.57 = 9,509.99 : x
  2. Step 2: Convert to fraction form
    17,467.76/24,105.57 = 9,509.99/x
  3. Step 3: Cross multiply
    17,467.76x = 24,105.57 × 9,509.99
  4. Step 4: Simplify right side
    17,467.76x = 229,243,729.64
  5. Step 5: Solve for x
    x = 229,243,729.64/17,467.76
  6. Step 6: Final answer
    x = 13,123.82

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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.