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Finding the Fourth Proportional to 17,200.26, 23,750.01 and 13,832.28

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Solution

The fourth proportional to 17,200.26, 23,750.01 and 13,832.28 is: 19,099.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,200.26 : 23,750.01 = 13,832.28 : x
  2. Step 2: Convert to fraction form
    17,200.26/23,750.01 = 13,832.28/x
  3. Step 3: Cross multiply
    17,200.26x = 23,750.01 × 13,832.28
  4. Step 4: Simplify right side
    17,200.26x = 328,516,788.32
  5. Step 5: Solve for x
    x = 328,516,788.32/17,200.26
  6. Step 6: Final answer
    x = 19,099.52

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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.