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Finding the Fourth Proportional to 16,047.10, 24,072.68 and 6,193.25

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Solution

The fourth proportional to 16,047.10, 24,072.68 and 6,193.25 is: 9,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,047.10 : 24,072.68 = 6,193.25 : x
  2. Step 2: Convert to fraction form
    16,047.10/24,072.68 = 6,193.25/x
  3. Step 3: Cross multiply
    16,047.10x = 24,072.68 × 6,193.25
  4. Step 4: Simplify right side
    16,047.10x = 149,088,125.41
  5. Step 5: Solve for x
    x = 149,088,125.41/16,047.10
  6. Step 6: Final answer
    x = 9,290.66

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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.