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Finding the Fourth Proportional to 30,156.23, 41,614.79 and 17,408.98

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Solution

The fourth proportional to 30,156.23, 41,614.79 and 17,408.98 is: 24,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,156.23 : 41,614.79 = 17,408.98 : x
  2. Step 2: Convert to fraction form
    30,156.23/41,614.79 = 17,408.98/x
  3. Step 3: Cross multiply
    30,156.23x = 41,614.79 × 17,408.98
  4. Step 4: Simplify right side
    30,156.23x = 724,470,942.78
  5. Step 5: Solve for x
    x = 724,470,942.78/30,156.23
  6. Step 6: Final answer
    x = 24,023.92

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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.