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Finding the Fourth Proportional to 15,633.86, 23,453.82 and 6,749.19

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Solution

The fourth proportional to 15,633.86, 23,453.82 and 6,749.19 is: 10,125.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,633.86 : 23,453.82 = 6,749.19 : x
  2. Step 2: Convert to fraction form
    15,633.86/23,453.82 = 6,749.19/x
  3. Step 3: Cross multiply
    15,633.86x = 23,453.82 × 6,749.19
  4. Step 4: Simplify right side
    15,633.86x = 158,294,287.41
  5. Step 5: Solve for x
    x = 158,294,287.41/15,633.86
  6. Step 6: Final answer
    x = 10,125.10

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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.