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Finding the Fourth Proportional to 16,477.89, 24,720.02 and 5,381.60

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Solution

The fourth proportional to 16,477.89, 24,720.02 and 5,381.60 is: 8,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477.89 : 24,720.02 = 5,381.60 : x
  2. Step 2: Convert to fraction form
    16,477.89/24,720.02 = 5,381.60/x
  3. Step 3: Cross multiply
    16,477.89x = 24,720.02 × 5,381.60
  4. Step 4: Simplify right side
    16,477.89x = 133,033,109.12
  5. Step 5: Solve for x
    x = 133,033,109.12/16,477.89
  6. Step 6: Final answer
    x = 8,073.43

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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.