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Finding the Fourth Proportional to 17,546.93, 24,213.84 and 9,587.60

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Solution

The fourth proportional to 17,546.93, 24,213.84 and 9,587.60 is: 13,230.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,546.93 : 24,213.84 = 9,587.60 : x
  2. Step 2: Convert to fraction form
    17,546.93/24,213.84 = 9,587.60/x
  3. Step 3: Cross multiply
    17,546.93x = 24,213.84 × 9,587.60
  4. Step 4: Simplify right side
    17,546.93x = 232,152,546.16
  5. Step 5: Solve for x
    x = 232,152,546.16/17,546.93
  6. Step 6: Final answer
    x = 13,230.38

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Why These Related Problems?

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