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Finding the Fourth Proportional to 17,467.84, 24,105.16 and 9,509.89

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Solution

The fourth proportional to 17,467.84, 24,105.16 and 9,509.89 is: 13,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,467.84 : 24,105.16 = 9,509.89 : x
  2. Step 2: Convert to fraction form
    17,467.84/24,105.16 = 9,509.89/x
  3. Step 3: Cross multiply
    17,467.84x = 24,105.16 × 9,509.89
  4. Step 4: Simplify right side
    17,467.84x = 229,237,420.03
  5. Step 5: Solve for x
    x = 229,237,420.03/17,467.84
  6. Step 6: Final answer
    x = 13,123.40

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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.