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Finding the Fourth Proportional to 17,624.64, 26,400.96 and 9,837.60

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Solution

The fourth proportional to 17,624.64, 26,400.96 and 9,837.60 is: 14,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,624.64 : 26,400.96 = 9,837.60 : x
  2. Step 2: Convert to fraction form
    17,624.64/26,400.96 = 9,837.60/x
  3. Step 3: Cross multiply
    17,624.64x = 26,400.96 × 9,837.60
  4. Step 4: Simplify right side
    17,624.64x = 259,722,084.10
  5. Step 5: Solve for x
    x = 259,722,084.10/17,624.64
  6. Step 6: Final answer
    x = 14,736.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.