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Finding the Fourth Proportional to 26,705.65, 40,046.32 and 14,222.47

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Solution

The fourth proportional to 26,705.65, 40,046.32 and 14,222.47 is: 21,327.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.65 : 40,046.32 = 14,222.47 : x
  2. Step 2: Convert to fraction form
    26,705.65/40,046.32 = 14,222.47/x
  3. Step 3: Cross multiply
    26,705.65x = 40,046.32 × 14,222.47
  4. Step 4: Simplify right side
    26,705.65x = 569,557,584.81
  5. Step 5: Solve for x
    x = 569,557,584.81/26,705.65
  6. Step 6: Final answer
    x = 21,327.23

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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.