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Finding the Fourth Proportional to 26,705.50, 36,852.14 and 14,768.14

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Solution

The fourth proportional to 26,705.50, 36,852.14 and 14,768.14 is: 20,379.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.50 : 36,852.14 = 14,768.14 : x
  2. Step 2: Convert to fraction form
    26,705.50/36,852.14 = 14,768.14/x
  3. Step 3: Cross multiply
    26,705.50x = 36,852.14 × 14,768.14
  4. Step 4: Simplify right side
    26,705.50x = 544,237,562.82
  5. Step 5: Solve for x
    x = 544,237,562.82/26,705.50
  6. Step 6: Final answer
    x = 20,379.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.