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Finding the Fourth Proportional to 26,441.46, 39,664.53 and 9,578.70

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Solution

The fourth proportional to 26,441.46, 39,664.53 and 9,578.70 is: 14,368.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,441.46 : 39,664.53 = 9,578.70 : x
  2. Step 2: Convert to fraction form
    26,441.46/39,664.53 = 9,578.70/x
  3. Step 3: Cross multiply
    26,441.46x = 39,664.53 × 9,578.70
  4. Step 4: Simplify right side
    26,441.46x = 379,934,633.51
  5. Step 5: Solve for x
    x = 379,934,633.51/26,441.46
  6. Step 6: Final answer
    x = 14,368.90

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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.