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Finding the Fourth Proportional to 17,138.16, 23,649.72 and 9,584.79

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Solution

The fourth proportional to 17,138.16, 23,649.72 and 9,584.79 is: 13,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,138.16 : 23,649.72 = 9,584.79 : x
  2. Step 2: Convert to fraction form
    17,138.16/23,649.72 = 9,584.79/x
  3. Step 3: Cross multiply
    17,138.16x = 23,649.72 × 9,584.79
  4. Step 4: Simplify right side
    17,138.16x = 226,677,599.76
  5. Step 5: Solve for x
    x = 226,677,599.76/17,138.16
  6. Step 6: Final answer
    x = 13,226.48

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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.