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Finding the Fourth Proportional to 17,584.31, 26,376.48 and 5,272.31

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Solution

The fourth proportional to 17,584.31, 26,376.48 and 5,272.31 is: 7,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,584.31 : 26,376.48 = 5,272.31 : x
  2. Step 2: Convert to fraction form
    17,584.31/26,376.48 = 5,272.31/x
  3. Step 3: Cross multiply
    17,584.31x = 26,376.48 × 5,272.31
  4. Step 4: Simplify right side
    17,584.31x = 139,065,045.21
  5. Step 5: Solve for x
    x = 139,065,045.21/17,584.31
  6. Step 6: Final answer
    x = 7,908.47

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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.