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Finding the Fourth Proportional to 38,428.65, 57,640.65 and 14,408.22

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Solution

The fourth proportional to 38,428.65, 57,640.65 and 14,408.22 is: 21,611.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428.65 : 57,640.65 = 14,408.22 : x
  2. Step 2: Convert to fraction form
    38,428.65/57,640.65 = 14,408.22/x
  3. Step 3: Cross multiply
    38,428.65x = 57,640.65 × 14,408.22
  4. Step 4: Simplify right side
    38,428.65x = 830,498,877.94
  5. Step 5: Solve for x
    x = 830,498,877.94/38,428.65
  6. Step 6: Final answer
    x = 21,611.45

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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.