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Finding the Fourth Proportional to 16,419.68, 24,623.16 and 5,323.70

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Solution

The fourth proportional to 16,419.68, 24,623.16 and 5,323.70 is: 7,983.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,419.68 : 24,623.16 = 5,323.70 : x
  2. Step 2: Convert to fraction form
    16,419.68/24,623.16 = 5,323.70/x
  3. Step 3: Cross multiply
    16,419.68x = 24,623.16 × 5,323.70
  4. Step 4: Simplify right side
    16,419.68x = 131,086,316.89
  5. Step 5: Solve for x
    x = 131,086,316.89/16,419.68
  6. Step 6: Final answer
    x = 7,983.49

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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.