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Finding the Fourth Proportional to 16,420.92, 24,608.67 and 14,224.20

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Solution

The fourth proportional to 16,420.92, 24,608.67 and 14,224.20 is: 21,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,420.92 : 24,608.67 = 14,224.20 : x
  2. Step 2: Convert to fraction form
    16,420.92/24,608.67 = 14,224.20/x
  3. Step 3: Cross multiply
    16,420.92x = 24,608.67 × 14,224.20
  4. Step 4: Simplify right side
    16,420.92x = 350,038,643.81
  5. Step 5: Solve for x
    x = 350,038,643.81/16,420.92
  6. Step 6: Final answer
    x = 21,316.63

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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.