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Finding the Fourth Proportional to 16,024.34, 24,019.49 and 9,453.62

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Solution

The fourth proportional to 16,024.34, 24,019.49 and 9,453.62 is: 14,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.34 : 24,019.49 = 9,453.62 : x
  2. Step 2: Convert to fraction form
    16,024.34/24,019.49 = 9,453.62/x
  3. Step 3: Cross multiply
    16,024.34x = 24,019.49 × 9,453.62
  4. Step 4: Simplify right side
    16,024.34x = 227,071,131.05
  5. Step 5: Solve for x
    x = 227,071,131.05/16,024.34
  6. Step 6: Final answer
    x = 14,170.39

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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.