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Finding the Fourth Proportional to 17,530, 26,294.64 and 4,382.32

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Solution

The fourth proportional to 17,530, 26,294.64 and 4,382.32 is: 6,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530 : 26,294.64 = 4,382.32 : x
  2. Step 2: Convert to fraction form
    17,530/26,294.64 = 4,382.32/x
  3. Step 3: Cross multiply
    17,530x = 26,294.64 × 4,382.32
  4. Step 4: Simplify right side
    17,530x = 115,231,526.76
  5. Step 5: Solve for x
    x = 115,231,526.76/17,530
  6. Step 6: Final answer
    x = 6,573.39

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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.