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Finding the Fourth Proportional to 26,032.56, 39,054.60 and 12,174

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Solution

The fourth proportional to 26,032.56, 39,054.60 and 12,174 is: 18,263.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,032.56 : 39,054.60 = 12,174 : x
  2. Step 2: Convert to fraction form
    26,032.56/39,054.60 = 12,174/x
  3. Step 3: Cross multiply
    26,032.56x = 39,054.60 × 12,174
  4. Step 4: Simplify right side
    26,032.56x = 475,450,700.40
  5. Step 5: Solve for x
    x = 475,450,700.40/26,032.56
  6. Step 6: Final answer
    x = 18,263.69

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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.