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Finding the Fourth Proportional to 34,657.56, 51,991.66 and 12,174.28

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Solution

The fourth proportional to 34,657.56, 51,991.66 and 12,174.28 is: 18,263.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,657.56 : 51,991.66 = 12,174.28 : x
  2. Step 2: Convert to fraction form
    34,657.56/51,991.66 = 12,174.28/x
  3. Step 3: Cross multiply
    34,657.56x = 51,991.66 × 12,174.28
  4. Step 4: Simplify right side
    34,657.56x = 632,961,026.50
  5. Step 5: Solve for x
    x = 632,961,026.50/34,657.56
  6. Step 6: Final answer
    x = 18,263.29

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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.