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Finding the Fourth Proportional to 34,174.76, 51,259.86 and 16,418.14

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Solution

The fourth proportional to 34,174.76, 51,259.86 and 16,418.14 is: 24,626.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,174.76 : 51,259.86 = 16,418.14 : x
  2. Step 2: Convert to fraction form
    34,174.76/51,259.86 = 16,418.14/x
  3. Step 3: Cross multiply
    34,174.76x = 51,259.86 × 16,418.14
  4. Step 4: Simplify right side
    34,174.76x = 841,591,764.22
  5. Step 5: Solve for x
    x = 841,591,764.22/34,174.76
  6. Step 6: Final answer
    x = 24,626.12

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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.