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Finding the Fourth Proportional to 17,858.28, 26,788.50 and 7,466.52

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Solution

The fourth proportional to 17,858.28, 26,788.50 and 7,466.52 is: 11,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,858.28 : 26,788.50 = 7,466.52 : x
  2. Step 2: Convert to fraction form
    17,858.28/26,788.50 = 7,466.52/x
  3. Step 3: Cross multiply
    17,858.28x = 26,788.50 × 7,466.52
  4. Step 4: Simplify right side
    17,858.28x = 200,016,871.02
  5. Step 5: Solve for x
    x = 200,016,871.02/17,858.28
  6. Step 6: Final answer
    x = 11,200.23

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